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Finding the Third Proportional to 181.14 and 274.32

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Solution

The third proportional to 181.14 and 274.32 is: 415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.14 : 274.32 = 274.32 : x
  2. Step 2: Convert to fraction form
    181.14/274.32 = 274.32/x
  3. Step 3: Cross multiply
    181.14x = 274.32 × 274.32
  4. Step 4: Simplify right side
    181.14x = 75,253.78
  5. Step 5: Solve for x
    x = 75,253.78/181.14
  6. Step 6: Final answer
    x = 415.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.