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Finding the Third Proportional to 170,808 and 271,419

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Solution

The third proportional to 170,808 and 271,419 is: 431,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,808 : 271,419 = 271,419 : x
  2. Step 2: Convert to fraction form
    170,808/271,419 = 271,419/x
  3. Step 3: Cross multiply
    170,808x = 271,419 × 271,419
  4. Step 4: Simplify right side
    170,808x = 73,668,273,561
  5. Step 5: Solve for x
    x = 73,668,273,561/170,808
  6. Step 6: Final answer
    x = 431,292.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.