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Finding the Third Proportional to 278.75 and 416.88

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Solution

The third proportional to 278.75 and 416.88 is: 623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.75 : 416.88 = 416.88 : x
  2. Step 2: Convert to fraction form
    278.75/416.88 = 416.88/x
  3. Step 3: Cross multiply
    278.75x = 416.88 × 416.88
  4. Step 4: Simplify right side
    278.75x = 173,784.77
  5. Step 5: Solve for x
    x = 173,784.77/278.75
  6. Step 6: Final answer
    x = 623.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.