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Finding the Third Proportional to 138,674 and 270,436

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Solution

The third proportional to 138,674 and 270,436 is: 527,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,674 : 270,436 = 270,436 : x
  2. Step 2: Convert to fraction form
    138,674/270,436 = 270,436/x
  3. Step 3: Cross multiply
    138,674x = 270,436 × 270,436
  4. Step 4: Simplify right side
    138,674x = 73,135,630,096
  5. Step 5: Solve for x
    x = 73,135,630,096/138,674
  6. Step 6: Final answer
    x = 527,392.52

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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.