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Finding the Third Proportional to 83,428 and 129,287

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Solution

The third proportional to 83,428 and 129,287 is: 200,353.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,428 : 129,287 = 129,287 : x
  2. Step 2: Convert to fraction form
    83,428/129,287 = 129,287/x
  3. Step 3: Cross multiply
    83,428x = 129,287 × 129,287
  4. Step 4: Simplify right side
    83,428x = 16,715,128,369
  5. Step 5: Solve for x
    x = 16,715,128,369/83,428
  6. Step 6: Final answer
    x = 200,353.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.