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Finding the Third Proportional to 343,361 and 520,874

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Solution

The third proportional to 343,361 and 520,874 is: 790,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,361 : 520,874 = 520,874 : x
  2. Step 2: Convert to fraction form
    343,361/520,874 = 520,874/x
  3. Step 3: Cross multiply
    343,361x = 520,874 × 520,874
  4. Step 4: Simplify right side
    343,361x = 271,309,723,876
  5. Step 5: Solve for x
    x = 271,309,723,876/343,361
  6. Step 6: Final answer
    x = 790,158.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.