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Finding the Third Proportional to 87,564 and 138,838.50

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Solution

The third proportional to 87,564 and 138,838.50 is: 220,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,564 : 138,838.50 = 138,838.50 : x
  2. Step 2: Convert to fraction form
    87,564/138,838.50 = 138,838.50/x
  3. Step 3: Cross multiply
    87,564x = 138,838.50 × 138,838.50
  4. Step 4: Simplify right side
    87,564x = 19,276,129,082.25
  5. Step 5: Solve for x
    x = 19,276,129,082.25/87,564
  6. Step 6: Final answer
    x = 220,137.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.