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Finding the Third Proportional to 66,982 and 147,357

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Solution

The third proportional to 66,982 and 147,357 is: 324,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,982 : 147,357 = 147,357 : x
  2. Step 2: Convert to fraction form
    66,982/147,357 = 147,357/x
  3. Step 3: Cross multiply
    66,982x = 147,357 × 147,357
  4. Step 4: Simplify right side
    66,982x = 21,714,085,449
  5. Step 5: Solve for x
    x = 21,714,085,449/66,982
  6. Step 6: Final answer
    x = 324,177.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.