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Finding the Third Proportional to 66,474 and 140,940

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Solution

The third proportional to 66,474 and 140,940 is: 298,824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,474 : 140,940 = 140,940 : x
  2. Step 2: Convert to fraction form
    66,474/140,940 = 140,940/x
  3. Step 3: Cross multiply
    66,474x = 140,940 × 140,940
  4. Step 4: Simplify right side
    66,474x = 19,864,083,600
  5. Step 5: Solve for x
    x = 19,864,083,600/66,474
  6. Step 6: Final answer
    x = 298,824.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.