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Finding the Third Proportional to 342.43 and 516.14

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Solution

The third proportional to 342.43 and 516.14 is: 777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.43 : 516.14 = 516.14 : x
  2. Step 2: Convert to fraction form
    342.43/516.14 = 516.14/x
  3. Step 3: Cross multiply
    342.43x = 516.14 × 516.14
  4. Step 4: Simplify right side
    342.43x = 266,398.12
  5. Step 5: Solve for x
    x = 266,398.12/342.43
  6. Step 6: Final answer
    x = 777.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.