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Finding the Third Proportional to 316.29 and 694.85

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Solution

The third proportional to 316.29 and 694.85 is: 1,526.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.29 : 694.85 = 694.85 : x
  2. Step 2: Convert to fraction form
    316.29/694.85 = 694.85/x
  3. Step 3: Cross multiply
    316.29x = 694.85 × 694.85
  4. Step 4: Simplify right side
    316.29x = 482,818.69
  5. Step 5: Solve for x
    x = 482,818.69/316.29
  6. Step 6: Final answer
    x = 1,526.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.