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Finding the Third Proportional to 87,951 and 136,271

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Solution

The third proportional to 87,951 and 136,271 is: 211,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,951 : 136,271 = 136,271 : x
  2. Step 2: Convert to fraction form
    87,951/136,271 = 136,271/x
  3. Step 3: Cross multiply
    87,951x = 136,271 × 136,271
  4. Step 4: Simplify right side
    87,951x = 18,569,785,441
  5. Step 5: Solve for x
    x = 18,569,785,441/87,951
  6. Step 6: Final answer
    x = 211,137.85

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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.