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Finding the Third Proportional to 138,782 and 270,652

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Solution

The third proportional to 138,782 and 270,652 is: 527,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,782 : 270,652 = 270,652 : x
  2. Step 2: Convert to fraction form
    138,782/270,652 = 270,652/x
  3. Step 3: Cross multiply
    138,782x = 270,652 × 270,652
  4. Step 4: Simplify right side
    138,782x = 73,252,505,104
  5. Step 5: Solve for x
    x = 73,252,505,104/138,782
  6. Step 6: Final answer
    x = 527,824.25

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.