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Finding the Third Proportional to 83,512 and 129,332

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Solution

The third proportional to 83,512 and 129,332 is: 200,291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,512 : 129,332 = 129,332 : x
  2. Step 2: Convert to fraction form
    83,512/129,332 = 129,332/x
  3. Step 3: Cross multiply
    83,512x = 129,332 × 129,332
  4. Step 4: Simplify right side
    83,512x = 16,726,766,224
  5. Step 5: Solve for x
    x = 16,726,766,224/83,512
  6. Step 6: Final answer
    x = 200,291.77

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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.