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Finding the Third Proportional to 87,099.75 and 127,287

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Solution

The third proportional to 87,099.75 and 127,287 is: 186,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,099.75 : 127,287 = 127,287 : x
  2. Step 2: Convert to fraction form
    87,099.75/127,287 = 127,287/x
  3. Step 3: Cross multiply
    87,099.75x = 127,287 × 127,287
  4. Step 4: Simplify right side
    87,099.75x = 16,201,980,369
  5. Step 5: Solve for x
    x = 16,201,980,369/87,099.75
  6. Step 6: Final answer
    x = 186,016.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.