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Finding the Third Proportional to 66,474 and 145,422

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Solution

The third proportional to 66,474 and 145,422 is: 318,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,474 : 145,422 = 145,422 : x
  2. Step 2: Convert to fraction form
    66,474/145,422 = 145,422/x
  3. Step 3: Cross multiply
    66,474x = 145,422 × 145,422
  4. Step 4: Simplify right side
    66,474x = 21,147,558,084
  5. Step 5: Solve for x
    x = 21,147,558,084/66,474
  6. Step 6: Final answer
    x = 318,132.77

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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.