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Finding the Third Proportional to 80,708 and 133,382

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Solution

The third proportional to 80,708 and 133,382 is: 220,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,708 : 133,382 = 133,382 : x
  2. Step 2: Convert to fraction form
    80,708/133,382 = 133,382/x
  3. Step 3: Cross multiply
    80,708x = 133,382 × 133,382
  4. Step 4: Simplify right side
    80,708x = 17,790,757,924
  5. Step 5: Solve for x
    x = 17,790,757,924/80,708
  6. Step 6: Final answer
    x = 220,433.64

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.