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Finding the Third Proportional to 631.31 and 834.19

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Solution

The third proportional to 631.31 and 834.19 is: 1,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.31 : 834.19 = 834.19 : x
  2. Step 2: Convert to fraction form
    631.31/834.19 = 834.19/x
  3. Step 3: Cross multiply
    631.31x = 834.19 × 834.19
  4. Step 4: Simplify right side
    631.31x = 695,868.79
  5. Step 5: Solve for x
    x = 695,868.79/631.31
  6. Step 6: Final answer
    x = 1,102.26

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.