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Finding the Third Proportional to 161,721 and 252,422

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Solution

The third proportional to 161,721 and 252,422 is: 393,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,721 : 252,422 = 252,422 : x
  2. Step 2: Convert to fraction form
    161,721/252,422 = 252,422/x
  3. Step 3: Cross multiply
    161,721x = 252,422 × 252,422
  4. Step 4: Simplify right side
    161,721x = 63,716,866,084
  5. Step 5: Solve for x
    x = 63,716,866,084/161,721
  6. Step 6: Final answer
    x = 393,992.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.