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Finding the Third Proportional to 79,427 and 123,497

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Solution

The third proportional to 79,427 and 123,497 is: 192,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,427 : 123,497 = 123,497 : x
  2. Step 2: Convert to fraction form
    79,427/123,497 = 123,497/x
  3. Step 3: Cross multiply
    79,427x = 123,497 × 123,497
  4. Step 4: Simplify right side
    79,427x = 15,251,509,009
  5. Step 5: Solve for x
    x = 15,251,509,009/79,427
  6. Step 6: Final answer
    x = 192,019.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.