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Finding the Third Proportional to 310.92 and 516.16

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Solution

The third proportional to 310.92 and 516.16 is: 856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.92 : 516.16 = 516.16 : x
  2. Step 2: Convert to fraction form
    310.92/516.16 = 516.16/x
  3. Step 3: Cross multiply
    310.92x = 516.16 × 516.16
  4. Step 4: Simplify right side
    310.92x = 266,425.34
  5. Step 5: Solve for x
    x = 266,425.34/310.92
  6. Step 6: Final answer
    x = 856.89

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.