Home / 98,524-213,512

Finding the Third Proportional to 98,524 and 213,512

Calculator

Solution

The third proportional to 98,524 and 213,512 is: 462,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,524 : 213,512 = 213,512 : x
  2. Step 2: Convert to fraction form
    98,524/213,512 = 213,512/x
  3. Step 3: Cross multiply
    98,524x = 213,512 × 213,512
  4. Step 4: Simplify right side
    98,524x = 45,587,374,144
  5. Step 5: Solve for x
    x = 45,587,374,144/98,524
  6. Step 6: Final answer
    x = 462,703.24

Related Problems

Find third proportional to 49,262 and 106,756
Half scale
Find third proportional to 197,048 and 427,024
Double scale
Find third proportional to 98,526 and 213,516
Similar ratio
Find third proportional to 147,786 and 320,268
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.