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Finding the Third Proportional to 87,468 and 137,509

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Solution

The third proportional to 87,468 and 137,509 is: 216,178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,468 : 137,509 = 137,509 : x
  2. Step 2: Convert to fraction form
    87,468/137,509 = 137,509/x
  3. Step 3: Cross multiply
    87,468x = 137,509 × 137,509
  4. Step 4: Simplify right side
    87,468x = 18,908,725,081
  5. Step 5: Solve for x
    x = 18,908,725,081/87,468
  6. Step 6: Final answer
    x = 216,178.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.