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Finding the Third Proportional to 123,154 and 198,331

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Solution

The third proportional to 123,154 and 198,331 is: 319,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,154 : 198,331 = 198,331 : x
  2. Step 2: Convert to fraction form
    123,154/198,331 = 198,331/x
  3. Step 3: Cross multiply
    123,154x = 198,331 × 198,331
  4. Step 4: Simplify right side
    123,154x = 39,335,185,561
  5. Step 5: Solve for x
    x = 39,335,185,561/123,154
  6. Step 6: Final answer
    x = 319,398.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.