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Finding the Third Proportional to 138,681 and 198,169

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Solution

The third proportional to 138,681 and 198,169 is: 283,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,681 : 198,169 = 198,169 : x
  2. Step 2: Convert to fraction form
    138,681/198,169 = 198,169/x
  3. Step 3: Cross multiply
    138,681x = 198,169 × 198,169
  4. Step 4: Simplify right side
    138,681x = 39,270,952,561
  5. Step 5: Solve for x
    x = 39,270,952,561/138,681
  6. Step 6: Final answer
    x = 283,174.71

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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.