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Finding the Third Proportional to 181.88 and 278.53

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Solution

The third proportional to 181.88 and 278.53 is: 426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.88 : 278.53 = 278.53 : x
  2. Step 2: Convert to fraction form
    181.88/278.53 = 278.53/x
  3. Step 3: Cross multiply
    181.88x = 278.53 × 278.53
  4. Step 4: Simplify right side
    181.88x = 77,579.66
  5. Step 5: Solve for x
    x = 77,579.66/181.88
  6. Step 6: Final answer
    x = 426.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.