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Finding the Third Proportional to 87,792 and 135,804

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Solution

The third proportional to 87,792 and 135,804 is: 210,072.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,792 : 135,804 = 135,804 : x
  2. Step 2: Convert to fraction form
    87,792/135,804 = 135,804/x
  3. Step 3: Cross multiply
    87,792x = 135,804 × 135,804
  4. Step 4: Simplify right side
    87,792x = 18,442,726,416
  5. Step 5: Solve for x
    x = 18,442,726,416/87,792
  6. Step 6: Final answer
    x = 210,072.97

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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.