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Finding the Third Proportional to 181.13 and 397.13

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Solution

The third proportional to 181.13 and 397.13 is: 870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.13 : 397.13 = 397.13 : x
  2. Step 2: Convert to fraction form
    181.13/397.13 = 397.13/x
  3. Step 3: Cross multiply
    181.13x = 397.13 × 397.13
  4. Step 4: Simplify right side
    181.13x = 157,708.27
  5. Step 5: Solve for x
    x = 157,708.27/181.13
  6. Step 6: Final answer
    x = 870.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.