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Finding the Third Proportional to 317 and 674.38

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Solution

The third proportional to 317 and 674.38 is: 1,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317 : 674.38 = 674.38 : x
  2. Step 2: Convert to fraction form
    317/674.38 = 674.38/x
  3. Step 3: Cross multiply
    317x = 674.38 × 674.38
  4. Step 4: Simplify right side
    317x = 454,781.64
  5. Step 5: Solve for x
    x = 454,781.64/317
  6. Step 6: Final answer
    x = 1,434.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.