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Finding the Third Proportional to 83,354 and 129,080

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Solution

The third proportional to 83,354 and 129,080 is: 199,890.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,354 : 129,080 = 129,080 : x
  2. Step 2: Convert to fraction form
    83,354/129,080 = 129,080/x
  3. Step 3: Cross multiply
    83,354x = 129,080 × 129,080
  4. Step 4: Simplify right side
    83,354x = 16,661,646,400
  5. Step 5: Solve for x
    x = 16,661,646,400/83,354
  6. Step 6: Final answer
    x = 199,890.18

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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.