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Finding the Third Proportional to 278.71 and 591.60

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Solution

The third proportional to 278.71 and 591.60 is: 1,255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.71 : 591.60 = 591.60 : x
  2. Step 2: Convert to fraction form
    278.71/591.60 = 591.60/x
  3. Step 3: Cross multiply
    278.71x = 591.60 × 591.60
  4. Step 4: Simplify right side
    278.71x = 349,991.25
  5. Step 5: Solve for x
    x = 349,991.25/278.71
  6. Step 6: Final answer
    x = 1,255.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.