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Finding the Third Proportional to 83,486 and 129,293

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Solution

The third proportional to 83,486 and 129,293 is: 200,233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,486 : 129,293 = 129,293 : x
  2. Step 2: Convert to fraction form
    83,486/129,293 = 129,293/x
  3. Step 3: Cross multiply
    83,486x = 129,293 × 129,293
  4. Step 4: Simplify right side
    83,486x = 16,716,679,849
  5. Step 5: Solve for x
    x = 16,716,679,849/83,486
  6. Step 6: Final answer
    x = 200,233.33

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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.