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Finding the Third Proportional to 311.34 and 511.17

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Solution

The third proportional to 311.34 and 511.17 is: 839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.34 : 511.17 = 511.17 : x
  2. Step 2: Convert to fraction form
    311.34/511.17 = 511.17/x
  3. Step 3: Cross multiply
    311.34x = 511.17 × 511.17
  4. Step 4: Simplify right side
    311.34x = 261,296.69
  5. Step 5: Solve for x
    x = 261,296.69/311.34
  6. Step 6: Final answer
    x = 839.25

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.