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Finding the Third Proportional to 138,544 and 207,976

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Solution

The third proportional to 138,544 and 207,976 is: 312,204.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,544 : 207,976 = 207,976 : x
  2. Step 2: Convert to fraction form
    138,544/207,976 = 207,976/x
  3. Step 3: Cross multiply
    138,544x = 207,976 × 207,976
  4. Step 4: Simplify right side
    138,544x = 43,254,016,576
  5. Step 5: Solve for x
    x = 43,254,016,576/138,544
  6. Step 6: Final answer
    x = 312,204.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.