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Finding the Third Proportional to 138,455 and 207,452

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Solution

The third proportional to 138,455 and 207,452 is: 310,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,455 : 207,452 = 207,452 : x
  2. Step 2: Convert to fraction form
    138,455/207,452 = 207,452/x
  3. Step 3: Cross multiply
    138,455x = 207,452 × 207,452
  4. Step 4: Simplify right side
    138,455x = 43,036,332,304
  5. Step 5: Solve for x
    x = 43,036,332,304/138,455
  6. Step 6: Final answer
    x = 310,832.63

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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.