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Finding the Third Proportional to 178.16 and 382.91

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Solution

The third proportional to 178.16 and 382.91 is: 822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.16 : 382.91 = 382.91 : x
  2. Step 2: Convert to fraction form
    178.16/382.91 = 382.91/x
  3. Step 3: Cross multiply
    178.16x = 382.91 × 382.91
  4. Step 4: Simplify right side
    178.16x = 146,617.20
  5. Step 5: Solve for x
    x = 146,617.20/178.16
  6. Step 6: Final answer
    x = 822.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.