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Finding the Third Proportional to 138,753 and 304,782

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Solution

The third proportional to 138,753 and 304,782 is: 669,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,753 : 304,782 = 304,782 : x
  2. Step 2: Convert to fraction form
    138,753/304,782 = 304,782/x
  3. Step 3: Cross multiply
    138,753x = 304,782 × 304,782
  4. Step 4: Simplify right side
    138,753x = 92,892,067,524
  5. Step 5: Solve for x
    x = 92,892,067,524/138,753
  6. Step 6: Final answer
    x = 669,477.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.