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Finding the Third Proportional to 71,098 and 95,406

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Solution

The third proportional to 71,098 and 95,406 is: 128,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,098 : 95,406 = 95,406 : x
  2. Step 2: Convert to fraction form
    71,098/95,406 = 95,406/x
  3. Step 3: Cross multiply
    71,098x = 95,406 × 95,406
  4. Step 4: Simplify right side
    71,098x = 9,102,304,836
  5. Step 5: Solve for x
    x = 9,102,304,836/71,098
  6. Step 6: Final answer
    x = 128,024.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.