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Finding the Third Proportional to 170,810 and 271,421

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Solution

The third proportional to 170,810 and 271,421 is: 431,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,810 : 271,421 = 271,421 : x
  2. Step 2: Convert to fraction form
    170,810/271,421 = 271,421/x
  3. Step 3: Cross multiply
    170,810x = 271,421 × 271,421
  4. Step 4: Simplify right side
    170,810x = 73,669,359,241
  5. Step 5: Solve for x
    x = 73,669,359,241/170,810
  6. Step 6: Final answer
    x = 431,294.18

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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.