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Finding the Third Proportional to 279.07 and 751.78

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Solution

The third proportional to 279.07 and 751.78 is: 2,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.07 : 751.78 = 751.78 : x
  2. Step 2: Convert to fraction form
    279.07/751.78 = 751.78/x
  3. Step 3: Cross multiply
    279.07x = 751.78 × 751.78
  4. Step 4: Simplify right side
    279.07x = 565,175.05
  5. Step 5: Solve for x
    x = 565,175.05/279.07
  6. Step 6: Final answer
    x = 2,025.21

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.