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Finding the Third Proportional to 138,063 and 281,930

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Solution

The third proportional to 138,063 and 281,930 is: 575,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,063 : 281,930 = 281,930 : x
  2. Step 2: Convert to fraction form
    138,063/281,930 = 281,930/x
  3. Step 3: Cross multiply
    138,063x = 281,930 × 281,930
  4. Step 4: Simplify right side
    138,063x = 79,484,524,900
  5. Step 5: Solve for x
    x = 79,484,524,900/138,063
  6. Step 6: Final answer
    x = 575,711.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.