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Finding the Third Proportional to 397.31 and 631.13

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Solution

The third proportional to 397.31 and 631.13 is: 1,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.31 : 631.13 = 631.13 : x
  2. Step 2: Convert to fraction form
    397.31/631.13 = 631.13/x
  3. Step 3: Cross multiply
    397.31x = 631.13 × 631.13
  4. Step 4: Simplify right side
    397.31x = 398,318.77
  5. Step 5: Solve for x
    x = 398,318.77/397.31
  6. Step 6: Final answer
    x = 1,002.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.