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Finding the Third Proportional to 66,474 and 140,452

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Solution

The third proportional to 66,474 and 140,452 is: 296,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,474 : 140,452 = 140,452 : x
  2. Step 2: Convert to fraction form
    66,474/140,452 = 140,452/x
  3. Step 3: Cross multiply
    66,474x = 140,452 × 140,452
  4. Step 4: Simplify right side
    66,474x = 19,726,764,304
  5. Step 5: Solve for x
    x = 19,726,764,304/66,474
  6. Step 6: Final answer
    x = 296,759.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.