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Finding the Third Proportional to 278.25 and 360.38

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Solution

The third proportional to 278.25 and 360.38 is: 466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.25 : 360.38 = 360.38 : x
  2. Step 2: Convert to fraction form
    278.25/360.38 = 360.38/x
  3. Step 3: Cross multiply
    278.25x = 360.38 × 360.38
  4. Step 4: Simplify right side
    278.25x = 129,870.14
  5. Step 5: Solve for x
    x = 129,870.14/278.25
  6. Step 6: Final answer
    x = 466.74

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.