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Finding the Third Proportional to 50,103 and 109,439

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Solution

The third proportional to 50,103 and 109,439 is: 239,045.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,103 : 109,439 = 109,439 : x
  2. Step 2: Convert to fraction form
    50,103/109,439 = 109,439/x
  3. Step 3: Cross multiply
    50,103x = 109,439 × 109,439
  4. Step 4: Simplify right side
    50,103x = 11,976,894,721
  5. Step 5: Solve for x
    x = 11,976,894,721/50,103
  6. Step 6: Final answer
    x = 239,045.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.