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Finding the Third Proportional to 140,247 and 308,542

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Solution

The third proportional to 140,247 and 308,542 is: 678,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,247 : 308,542 = 308,542 : x
  2. Step 2: Convert to fraction form
    140,247/308,542 = 308,542/x
  3. Step 3: Cross multiply
    140,247x = 308,542 × 308,542
  4. Step 4: Simplify right side
    140,247x = 95,198,165,764
  5. Step 5: Solve for x
    x = 95,198,165,764/140,247
  6. Step 6: Final answer
    x = 678,789.32

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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.