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Finding the Third Proportional to 142,032 and 220,800

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Solution

The third proportional to 142,032 and 220,800 is: 343,251.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,032 : 220,800 = 220,800 : x
  2. Step 2: Convert to fraction form
    142,032/220,800 = 220,800/x
  3. Step 3: Cross multiply
    142,032x = 220,800 × 220,800
  4. Step 4: Simplify right side
    142,032x = 48,752,640,000
  5. Step 5: Solve for x
    x = 48,752,640,000/142,032
  6. Step 6: Final answer
    x = 343,251.10

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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.