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Finding the Third Proportional to 138,658.50 and 198,141.75

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Solution

The third proportional to 138,658.50 and 198,141.75 is: 283,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,658.50 : 198,141.75 = 198,141.75 : x
  2. Step 2: Convert to fraction form
    138,658.50/198,141.75 = 198,141.75/x
  3. Step 3: Cross multiply
    138,658.50x = 198,141.75 × 198,141.75
  4. Step 4: Simplify right side
    138,658.50x = 39,260,153,093.06
  5. Step 5: Solve for x
    x = 39,260,153,093.06/138,658.50
  6. Step 6: Final answer
    x = 283,142.78

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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.