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Finding the Third Proportional to 87,897 and 136,215

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Solution

The third proportional to 87,897 and 136,215 is: 211,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,897 : 136,215 = 136,215 : x
  2. Step 2: Convert to fraction form
    87,897/136,215 = 136,215/x
  3. Step 3: Cross multiply
    87,897x = 136,215 × 136,215
  4. Step 4: Simplify right side
    87,897x = 18,554,526,225
  5. Step 5: Solve for x
    x = 18,554,526,225/87,897
  6. Step 6: Final answer
    x = 211,093.96

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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.