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Finding the Third Proportional to 69,681 and 150,542

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Solution

The third proportional to 69,681 and 150,542 is: 325,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,681 : 150,542 = 150,542 : x
  2. Step 2: Convert to fraction form
    69,681/150,542 = 150,542/x
  3. Step 3: Cross multiply
    69,681x = 150,542 × 150,542
  4. Step 4: Simplify right side
    69,681x = 22,662,893,764
  5. Step 5: Solve for x
    x = 22,662,893,764/69,681
  6. Step 6: Final answer
    x = 325,237.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.