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Finding the Third Proportional to 179.88 and 277.78

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Solution

The third proportional to 179.88 and 277.78 is: 428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.88 : 277.78 = 277.78 : x
  2. Step 2: Convert to fraction form
    179.88/277.78 = 277.78/x
  3. Step 3: Cross multiply
    179.88x = 277.78 × 277.78
  4. Step 4: Simplify right side
    179.88x = 77,162.42
  5. Step 5: Solve for x
    x = 77,162.42/179.88
  6. Step 6: Final answer
    x = 428.98

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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.