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Finding the Third Proportional to 138,745 and 219,493

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Solution

The third proportional to 138,745 and 219,493 is: 347,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,745 : 219,493 = 219,493 : x
  2. Step 2: Convert to fraction form
    138,745/219,493 = 219,493/x
  3. Step 3: Cross multiply
    138,745x = 219,493 × 219,493
  4. Step 4: Simplify right side
    138,745x = 48,177,177,049
  5. Step 5: Solve for x
    x = 48,177,177,049/138,745
  6. Step 6: Final answer
    x = 347,235.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.