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Finding the Third Proportional to 83,311 and 129,037

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Solution

The third proportional to 83,311 and 129,037 is: 199,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,311 : 129,037 = 129,037 : x
  2. Step 2: Convert to fraction form
    83,311/129,037 = 129,037/x
  3. Step 3: Cross multiply
    83,311x = 129,037 × 129,037
  4. Step 4: Simplify right side
    83,311x = 16,650,547,369
  5. Step 5: Solve for x
    x = 16,650,547,369/83,311
  6. Step 6: Final answer
    x = 199,860.13

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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.