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Finding the Third Proportional to 138,674 and 283,919

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Solution

The third proportional to 138,674 and 283,919 is: 581,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,674 : 283,919 = 283,919 : x
  2. Step 2: Convert to fraction form
    138,674/283,919 = 283,919/x
  3. Step 3: Cross multiply
    138,674x = 283,919 × 283,919
  4. Step 4: Simplify right side
    138,674x = 80,609,998,561
  5. Step 5: Solve for x
    x = 80,609,998,561/138,674
  6. Step 6: Final answer
    x = 581,291.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.