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Finding the Third Proportional to 54,332 and 80,920

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Solution

The third proportional to 54,332 and 80,920 is: 120,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,332 : 80,920 = 80,920 : x
  2. Step 2: Convert to fraction form
    54,332/80,920 = 80,920/x
  3. Step 3: Cross multiply
    54,332x = 80,920 × 80,920
  4. Step 4: Simplify right side
    54,332x = 6,548,046,400
  5. Step 5: Solve for x
    x = 6,548,046,400/54,332
  6. Step 6: Final answer
    x = 120,519.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.