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Finding the Third Proportional to 138,642 and 220,384

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Solution

The third proportional to 138,642 and 220,384 is: 350,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,642 : 220,384 = 220,384 : x
  2. Step 2: Convert to fraction form
    138,642/220,384 = 220,384/x
  3. Step 3: Cross multiply
    138,642x = 220,384 × 220,384
  4. Step 4: Simplify right side
    138,642x = 48,569,107,456
  5. Step 5: Solve for x
    x = 48,569,107,456/138,642
  6. Step 6: Final answer
    x = 350,320.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.