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Finding the Third Proportional to 142,488 and 220,920

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Solution

The third proportional to 142,488 and 220,920 is: 342,524.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,488 : 220,920 = 220,920 : x
  2. Step 2: Convert to fraction form
    142,488/220,920 = 220,920/x
  3. Step 3: Cross multiply
    142,488x = 220,920 × 220,920
  4. Step 4: Simplify right side
    142,488x = 48,805,646,400
  5. Step 5: Solve for x
    x = 48,805,646,400/142,488
  6. Step 6: Final answer
    x = 342,524.61

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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.