Home / 288,170-463,012

Finding the Third Proportional to 288,170 and 463,012

Calculator

Solution

The third proportional to 288,170 and 463,012 is: 743,936.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,170 : 463,012 = 463,012 : x
  2. Step 2: Convert to fraction form
    288,170/463,012 = 463,012/x
  3. Step 3: Cross multiply
    288,170x = 463,012 × 463,012
  4. Step 4: Simplify right side
    288,170x = 214,380,112,144
  5. Step 5: Solve for x
    x = 214,380,112,144/288,170
  6. Step 6: Final answer
    x = 743,936.26

Related Problems

Find third proportional to 144,085 and 231,506
Half scale
Find third proportional to 576,340 and 926,024
Double scale
Find third proportional to 288,172 and 463,015
Similar ratio
Find third proportional to 432,255 and 694,518
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.