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Finding the Third Proportional to 181.15 and 272.55

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Solution

The third proportional to 181.15 and 272.55 is: 410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.15 : 272.55 = 272.55 : x
  2. Step 2: Convert to fraction form
    181.15/272.55 = 272.55/x
  3. Step 3: Cross multiply
    181.15x = 272.55 × 272.55
  4. Step 4: Simplify right side
    181.15x = 74,286.06
  5. Step 5: Solve for x
    x = 74,286.06/181.15
  6. Step 6: Final answer
    x = 410.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.