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Finding the Third Proportional to 55,624 and 86,135

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Solution

The third proportional to 55,624 and 86,135 is: 133,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,624 : 86,135 = 86,135 : x
  2. Step 2: Convert to fraction form
    55,624/86,135 = 86,135/x
  3. Step 3: Cross multiply
    55,624x = 86,135 × 86,135
  4. Step 4: Simplify right side
    55,624x = 7,419,238,225
  5. Step 5: Solve for x
    x = 7,419,238,225/55,624
  6. Step 6: Final answer
    x = 133,381.96

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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.