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Finding the Third Proportional to 84.62 and 185.28

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Solution

The third proportional to 84.62 and 185.28 is: 405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.62 : 185.28 = 185.28 : x
  2. Step 2: Convert to fraction form
    84.62/185.28 = 185.28/x
  3. Step 3: Cross multiply
    84.62x = 185.28 × 185.28
  4. Step 4: Simplify right side
    84.62x = 34,326.96
  5. Step 5: Solve for x
    x = 34,326.96/84.62
  6. Step 6: Final answer
    x = 405.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.