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Finding the Third Proportional to 278.50 and 395.88

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Solution

The third proportional to 278.50 and 395.88 is: 562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.50 : 395.88 = 395.88 : x
  2. Step 2: Convert to fraction form
    278.50/395.88 = 395.88/x
  3. Step 3: Cross multiply
    278.50x = 395.88 × 395.88
  4. Step 4: Simplify right side
    278.50x = 156,717.02
  5. Step 5: Solve for x
    x = 156,717.02/278.50
  6. Step 6: Final answer
    x = 562.72

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.