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Finding the Third Proportional to 138,215 and 195,739

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Solution

The third proportional to 138,215 and 195,739 is: 277,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,215 : 195,739 = 195,739 : x
  2. Step 2: Convert to fraction form
    138,215/195,739 = 195,739/x
  3. Step 3: Cross multiply
    138,215x = 195,739 × 195,739
  4. Step 4: Simplify right side
    138,215x = 38,313,756,121
  5. Step 5: Solve for x
    x = 38,313,756,121/138,215
  6. Step 6: Final answer
    x = 277,204.04

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.