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Finding the Third Proportional to 87,294.75 and 139,474.13

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Solution

The third proportional to 87,294.75 and 139,474.13 is: 222,843.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,294.75 : 139,474.13 = 139,474.13 : x
  2. Step 2: Convert to fraction form
    87,294.75/139,474.13 = 139,474.13/x
  3. Step 3: Cross multiply
    87,294.75x = 139,474.13 × 139,474.13
  4. Step 4: Simplify right side
    87,294.75x = 19,453,031,544.52
  5. Step 5: Solve for x
    x = 19,453,031,544.52/87,294.75
  6. Step 6: Final answer
    x = 222,843.09

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.