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Finding the Third Proportional to 138,747 and 219,496

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Solution

The third proportional to 138,747 and 219,496 is: 347,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,747 : 219,496 = 219,496 : x
  2. Step 2: Convert to fraction form
    138,747/219,496 = 219,496/x
  3. Step 3: Cross multiply
    138,747x = 219,496 × 219,496
  4. Step 4: Simplify right side
    138,747x = 48,178,494,016
  5. Step 5: Solve for x
    x = 48,178,494,016/138,747
  6. Step 6: Final answer
    x = 347,239.90

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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.