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Finding the Third Proportional to 87,755 and 189,520

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Solution

The third proportional to 87,755 and 189,520 is: 409,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,755 : 189,520 = 189,520 : x
  2. Step 2: Convert to fraction form
    87,755/189,520 = 189,520/x
  3. Step 3: Cross multiply
    87,755x = 189,520 × 189,520
  4. Step 4: Simplify right side
    87,755x = 35,917,830,400
  5. Step 5: Solve for x
    x = 35,917,830,400/87,755
  6. Step 6: Final answer
    x = 409,296.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.