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Finding the Third Proportional to 138,542 and 198,123

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Solution

The third proportional to 138,542 and 198,123 is: 283,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,542 : 198,123 = 198,123 : x
  2. Step 2: Convert to fraction form
    138,542/198,123 = 198,123/x
  3. Step 3: Cross multiply
    138,542x = 198,123 × 198,123
  4. Step 4: Simplify right side
    138,542x = 39,252,723,129
  5. Step 5: Solve for x
    x = 39,252,723,129/138,542
  6. Step 6: Final answer
    x = 283,327.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.