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Finding the Third Proportional to 579.56 and 862.78

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Solution

The third proportional to 579.56 and 862.78 is: 1,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.56 : 862.78 = 862.78 : x
  2. Step 2: Convert to fraction form
    579.56/862.78 = 862.78/x
  3. Step 3: Cross multiply
    579.56x = 862.78 × 862.78
  4. Step 4: Simplify right side
    579.56x = 744,391.49
  5. Step 5: Solve for x
    x = 744,391.49/579.56
  6. Step 6: Final answer
    x = 1,284.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.