Home / 521,412.75-829,704.38

Finding the Third Proportional to 521,412.75 and 829,704.38

Calculator

Solution

The third proportional to 521,412.75 and 829,704.38 is: 1,320,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,412.75 : 829,704.38 = 829,704.38 : x
  2. Step 2: Convert to fraction form
    521,412.75/829,704.38 = 829,704.38/x
  3. Step 3: Cross multiply
    521,412.75x = 829,704.38 × 829,704.38
  4. Step 4: Simplify right side
    521,412.75x = 688,409,349,894.14
  5. Step 5: Solve for x
    x = 688,409,349,894.14/521,412.75
  6. Step 6: Final answer
    x = 1,320,277.17

Related Problems

Find third proportional to 260,706.38 and 414,852.19
Half scale
Find third proportional to 1,042,825.50 and 1,659,408.75
Double scale
Find third proportional to 521,415 and 829,708
Similar ratio
Find third proportional to 782,119.13 and 1,244,556.56
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.