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Finding the Third Proportional to 60,002 and 138,909

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Solution

The third proportional to 60,002 and 138,909 is: 321,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,002 : 138,909 = 138,909 : x
  2. Step 2: Convert to fraction form
    60,002/138,909 = 138,909/x
  3. Step 3: Cross multiply
    60,002x = 138,909 × 138,909
  4. Step 4: Simplify right side
    60,002x = 19,295,710,281
  5. Step 5: Solve for x
    x = 19,295,710,281/60,002
  6. Step 6: Final answer
    x = 321,584.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.