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Finding the Third Proportional to 180.42 and 382.43

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Solution

The third proportional to 180.42 and 382.43 is: 810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.42 : 382.43 = 382.43 : x
  2. Step 2: Convert to fraction form
    180.42/382.43 = 382.43/x
  3. Step 3: Cross multiply
    180.42x = 382.43 × 382.43
  4. Step 4: Simplify right side
    180.42x = 146,252.47
  5. Step 5: Solve for x
    x = 146,252.47/180.42
  6. Step 6: Final answer
    x = 810.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.