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Finding the Third Proportional to 316.35 and 694.96

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Solution

The third proportional to 316.35 and 694.96 is: 1,526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.35 : 694.96 = 694.96 : x
  2. Step 2: Convert to fraction form
    316.35/694.96 = 694.96/x
  3. Step 3: Cross multiply
    316.35x = 694.96 × 694.96
  4. Step 4: Simplify right side
    316.35x = 482,965.28
  5. Step 5: Solve for x
    x = 482,965.28/316.35
  6. Step 6: Final answer
    x = 1,526.69

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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.