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Finding the Third Proportional to 178.08 and 391.17

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Solution

The third proportional to 178.08 and 391.17 is: 859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.08 : 391.17 = 391.17 : x
  2. Step 2: Convert to fraction form
    178.08/391.17 = 391.17/x
  3. Step 3: Cross multiply
    178.08x = 391.17 × 391.17
  4. Step 4: Simplify right side
    178.08x = 153,015.44
  5. Step 5: Solve for x
    x = 153,015.44/178.08
  6. Step 6: Final answer
    x = 859.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.