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Finding the Third Proportional to 456.38 and 694.75

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Solution

The third proportional to 456.38 and 694.75 is: 1,057.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.38 : 694.75 = 694.75 : x
  2. Step 2: Convert to fraction form
    456.38/694.75 = 694.75/x
  3. Step 3: Cross multiply
    456.38x = 694.75 × 694.75
  4. Step 4: Simplify right side
    456.38x = 482,677.56
  5. Step 5: Solve for x
    x = 482,677.56/456.38
  6. Step 6: Final answer
    x = 1,057.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.