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Finding the Third Proportional to 87,125 and 188,875

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Solution

The third proportional to 87,125 and 188,875 is: 409,454.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,125 : 188,875 = 188,875 : x
  2. Step 2: Convert to fraction form
    87,125/188,875 = 188,875/x
  3. Step 3: Cross multiply
    87,125x = 188,875 × 188,875
  4. Step 4: Simplify right side
    87,125x = 35,673,765,625
  5. Step 5: Solve for x
    x = 35,673,765,625/87,125
  6. Step 6: Final answer
    x = 409,454.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.