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Finding the Third Proportional to 179.40 and 277.65

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Solution

The third proportional to 179.40 and 277.65 is: 429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.40 : 277.65 = 277.65 : x
  2. Step 2: Convert to fraction form
    179.40/277.65 = 277.65/x
  3. Step 3: Cross multiply
    179.40x = 277.65 × 277.65
  4. Step 4: Simplify right side
    179.40x = 77,087.57
  5. Step 5: Solve for x
    x = 77,087.57/179.40
  6. Step 6: Final answer
    x = 429.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.