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Finding the Third Proportional to 81,416 and 129,513

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Solution

The third proportional to 81,416 and 129,513 is: 206,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,416 : 129,513 = 129,513 : x
  2. Step 2: Convert to fraction form
    81,416/129,513 = 129,513/x
  3. Step 3: Cross multiply
    81,416x = 129,513 × 129,513
  4. Step 4: Simplify right side
    81,416x = 16,773,617,169
  5. Step 5: Solve for x
    x = 16,773,617,169/81,416
  6. Step 6: Final answer
    x = 206,023.60

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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.