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Finding the Third Proportional to 178.45 and 391.08

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Solution

The third proportional to 178.45 and 391.08 is: 857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.45 : 391.08 = 391.08 : x
  2. Step 2: Convert to fraction form
    178.45/391.08 = 391.08/x
  3. Step 3: Cross multiply
    178.45x = 391.08 × 391.08
  4. Step 4: Simplify right side
    178.45x = 152,942.10
  5. Step 5: Solve for x
    x = 152,942.10/178.45
  6. Step 6: Final answer
    x = 857.04

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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.