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Finding the Third Proportional to 397.41 and 825.19

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Solution

The third proportional to 397.41 and 825.19 is: 1,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.41 : 825.19 = 825.19 : x
  2. Step 2: Convert to fraction form
    397.41/825.19 = 825.19/x
  3. Step 3: Cross multiply
    397.41x = 825.19 × 825.19
  4. Step 4: Simplify right side
    397.41x = 680,934.41
  5. Step 5: Solve for x
    x = 680,934.41/397.41
  6. Step 6: Final answer
    x = 1,713.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.