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Finding the Third Proportional to 256,132.13 and 411,535.69

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Solution

The third proportional to 256,132.13 and 411,535.69 is: 661,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,132.13 : 411,535.69 = 411,535.69 : x
  2. Step 2: Convert to fraction form
    256,132.13/411,535.69 = 411,535.69/x
  3. Step 3: Cross multiply
    256,132.13x = 411,535.69 × 411,535.69
  4. Step 4: Simplify right side
    256,132.13x = 169,361,622,086.10
  5. Step 5: Solve for x
    x = 169,361,622,086.10/256,132.13
  6. Step 6: Final answer
    x = 661,227.57

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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.