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Finding the Third Proportional to 87,121 and 122,688

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Solution

The third proportional to 87,121 and 122,688 is: 172,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,121 : 122,688 = 122,688 : x
  2. Step 2: Convert to fraction form
    87,121/122,688 = 122,688/x
  3. Step 3: Cross multiply
    87,121x = 122,688 × 122,688
  4. Step 4: Simplify right side
    87,121x = 15,052,345,344
  5. Step 5: Solve for x
    x = 15,052,345,344/87,121
  6. Step 6: Final answer
    x = 172,775.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.