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Finding the Third Proportional to 63,625 and 95,406

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Solution

The third proportional to 63,625 and 95,406 is: 143,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,625 : 95,406 = 95,406 : x
  2. Step 2: Convert to fraction form
    63,625/95,406 = 95,406/x
  3. Step 3: Cross multiply
    63,625x = 95,406 × 95,406
  4. Step 4: Simplify right side
    63,625x = 9,102,304,836
  5. Step 5: Solve for x
    x = 9,102,304,836/63,625
  6. Step 6: Final answer
    x = 143,061.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.