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Finding the Third Proportional to 2,560 and 2,785

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Solution

The third proportional to 2,560 and 2,785 is: 3,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560 : 2,785 = 2,785 : x
  2. Step 2: Convert to fraction form
    2,560/2,785 = 2,785/x
  3. Step 3: Cross multiply
    2,560x = 2,785 × 2,785
  4. Step 4: Simplify right side
    2,560x = 7,756,225
  5. Step 5: Solve for x
    x = 7,756,225/2,560
  6. Step 6: Final answer
    x = 3,029.78

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.