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Finding the Third Proportional to 138,976 and 304,096

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Solution

The third proportional to 138,976 and 304,096 is: 665,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,976 : 304,096 = 304,096 : x
  2. Step 2: Convert to fraction form
    138,976/304,096 = 304,096/x
  3. Step 3: Cross multiply
    138,976x = 304,096 × 304,096
  4. Step 4: Simplify right side
    138,976x = 92,474,377,216
  5. Step 5: Solve for x
    x = 92,474,377,216/138,976
  6. Step 6: Final answer
    x = 665,398.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.