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Finding the Third Proportional to 99,142 and 159,599

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Solution

The third proportional to 99,142 and 159,599 is: 256,922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,142 : 159,599 = 159,599 : x
  2. Step 2: Convert to fraction form
    99,142/159,599 = 159,599/x
  3. Step 3: Cross multiply
    99,142x = 159,599 × 159,599
  4. Step 4: Simplify right side
    99,142x = 25,471,840,801
  5. Step 5: Solve for x
    x = 25,471,840,801/99,142
  6. Step 6: Final answer
    x = 256,922.81

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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.