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Finding the Third Proportional to 138,676 and 270,440

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Solution

The third proportional to 138,676 and 270,440 is: 527,400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,676 : 270,440 = 270,440 : x
  2. Step 2: Convert to fraction form
    138,676/270,440 = 270,440/x
  3. Step 3: Cross multiply
    138,676x = 270,440 × 270,440
  4. Step 4: Simplify right side
    138,676x = 73,137,793,600
  5. Step 5: Solve for x
    x = 73,137,793,600/138,676
  6. Step 6: Final answer
    x = 527,400.51

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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.