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Finding the Third Proportional to 185.81 and 397.25

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Solution

The third proportional to 185.81 and 397.25 is: 849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.81 : 397.25 = 397.25 : x
  2. Step 2: Convert to fraction form
    185.81/397.25 = 397.25/x
  3. Step 3: Cross multiply
    185.81x = 397.25 × 397.25
  4. Step 4: Simplify right side
    185.81x = 157,806.01
  5. Step 5: Solve for x
    x = 157,806.01/185.81
  6. Step 6: Final answer
    x = 849.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.