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Finding the Third Proportional to 316.13 and 694.22

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Solution

The third proportional to 316.13 and 694.22 is: 1,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.13 : 694.22 = 694.22 : x
  2. Step 2: Convert to fraction form
    316.13/694.22 = 694.22/x
  3. Step 3: Cross multiply
    316.13x = 694.22 × 694.22
  4. Step 4: Simplify right side
    316.13x = 481,939.67
  5. Step 5: Solve for x
    x = 481,939.67/316.13
  6. Step 6: Final answer
    x = 1,524.52

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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.