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Finding the Third Proportional to 49,378 and 108,638

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Solution

The third proportional to 49,378 and 108,638 is: 239,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,378 : 108,638 = 108,638 : x
  2. Step 2: Convert to fraction form
    49,378/108,638 = 108,638/x
  3. Step 3: Cross multiply
    49,378x = 108,638 × 108,638
  4. Step 4: Simplify right side
    49,378x = 11,802,215,044
  5. Step 5: Solve for x
    x = 11,802,215,044/49,378
  6. Step 6: Final answer
    x = 239,017.68

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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.