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Finding the Third Proportional to 179.38 and 277.06

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Solution

The third proportional to 179.38 and 277.06 is: 427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.38 : 277.06 = 277.06 : x
  2. Step 2: Convert to fraction form
    179.38/277.06 = 277.06/x
  3. Step 3: Cross multiply
    179.38x = 277.06 × 277.06
  4. Step 4: Simplify right side
    179.38x = 76,763.62
  5. Step 5: Solve for x
    x = 76,763.62/179.38
  6. Step 6: Final answer
    x = 427.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.