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Finding the Third Proportional to 81.84 and 180.56

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Solution

The third proportional to 81.84 and 180.56 is: 398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.84 : 180.56 = 180.56 : x
  2. Step 2: Convert to fraction form
    81.84/180.56 = 180.56/x
  3. Step 3: Cross multiply
    81.84x = 180.56 × 180.56
  4. Step 4: Simplify right side
    81.84x = 32,602.82
  5. Step 5: Solve for x
    x = 32,602.82/81.84
  6. Step 6: Final answer
    x = 398.35

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.