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Finding the Third Proportional to 343.62 and 515.43

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Solution

The third proportional to 343.62 and 515.43 is: 773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.62 : 515.43 = 515.43 : x
  2. Step 2: Convert to fraction form
    343.62/515.43 = 515.43/x
  3. Step 3: Cross multiply
    343.62x = 515.43 × 515.43
  4. Step 4: Simplify right side
    343.62x = 265,663.74
  5. Step 5: Solve for x
    x = 265,663.74/343.62
  6. Step 6: Final answer
    x = 773.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.