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Finding the Third Proportional to 123,572 and 198,966

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Solution

The third proportional to 123,572 and 198,966 is: 320,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,572 : 198,966 = 198,966 : x
  2. Step 2: Convert to fraction form
    123,572/198,966 = 198,966/x
  3. Step 3: Cross multiply
    123,572x = 198,966 × 198,966
  4. Step 4: Simplify right side
    123,572x = 39,587,469,156
  5. Step 5: Solve for x
    x = 39,587,469,156/123,572
  6. Step 6: Final answer
    x = 320,359.54

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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.