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Finding the Third Proportional to 161,719 and 252,419

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Solution

The third proportional to 161,719 and 252,419 is: 393,988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,719 : 252,419 = 252,419 : x
  2. Step 2: Convert to fraction form
    161,719/252,419 = 252,419/x
  3. Step 3: Cross multiply
    161,719x = 252,419 × 252,419
  4. Step 4: Simplify right side
    161,719x = 63,715,351,561
  5. Step 5: Solve for x
    x = 63,715,351,561/161,719
  6. Step 6: Final answer
    x = 393,988.04

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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.