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Finding the Third Proportional to 181.88 and 276.44

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Solution

The third proportional to 181.88 and 276.44 is: 420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.88 : 276.44 = 276.44 : x
  2. Step 2: Convert to fraction form
    181.88/276.44 = 276.44/x
  3. Step 3: Cross multiply
    181.88x = 276.44 × 276.44
  4. Step 4: Simplify right side
    181.88x = 76,417.69
  5. Step 5: Solve for x
    x = 76,417.69/181.88
  6. Step 6: Final answer
    x = 420.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.