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Finding the Third Proportional to 87,125 and 187,210

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Solution

The third proportional to 87,125 and 187,210 is: 402,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,125 : 187,210 = 187,210 : x
  2. Step 2: Convert to fraction form
    87,125/187,210 = 187,210/x
  3. Step 3: Cross multiply
    87,125x = 187,210 × 187,210
  4. Step 4: Simplify right side
    87,125x = 35,047,584,100
  5. Step 5: Solve for x
    x = 35,047,584,100/87,125
  6. Step 6: Final answer
    x = 402,267.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.