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Finding the Third Proportional to 69,087 and 148,542

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Solution

The third proportional to 69,087 and 148,542 is: 319,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,087 : 148,542 = 148,542 : x
  2. Step 2: Convert to fraction form
    69,087/148,542 = 148,542/x
  3. Step 3: Cross multiply
    69,087x = 148,542 × 148,542
  4. Step 4: Simplify right side
    69,087x = 22,064,725,764
  5. Step 5: Solve for x
    x = 22,064,725,764/69,087
  6. Step 6: Final answer
    x = 319,375.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.