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Finding the Third Proportional to 87,576 and 138,696

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Solution

The third proportional to 87,576 and 138,696 is: 219,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,576 : 138,696 = 138,696 : x
  2. Step 2: Convert to fraction form
    87,576/138,696 = 138,696/x
  3. Step 3: Cross multiply
    87,576x = 138,696 × 138,696
  4. Step 4: Simplify right side
    87,576x = 19,236,580,416
  5. Step 5: Solve for x
    x = 19,236,580,416/87,576
  6. Step 6: Final answer
    x = 219,655.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.