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Finding the Third Proportional to 311.48 and 516.80

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Solution

The third proportional to 311.48 and 516.80 is: 857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.48 : 516.80 = 516.80 : x
  2. Step 2: Convert to fraction form
    311.48/516.80 = 516.80/x
  3. Step 3: Cross multiply
    311.48x = 516.80 × 516.80
  4. Step 4: Simplify right side
    311.48x = 267,079.01
  5. Step 5: Solve for x
    x = 267,079.01/311.48
  6. Step 6: Final answer
    x = 857.44

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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.