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Finding the Third Proportional to 142,433 and 225,542

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Solution

The third proportional to 142,433 and 225,542 is: 357,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,433 : 225,542 = 225,542 : x
  2. Step 2: Convert to fraction form
    142,433/225,542 = 225,542/x
  3. Step 3: Cross multiply
    142,433x = 225,542 × 225,542
  4. Step 4: Simplify right side
    142,433x = 50,869,193,764
  5. Step 5: Solve for x
    x = 50,869,193,764/142,433
  6. Step 6: Final answer
    x = 357,144.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.