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Finding the Third Proportional to 2,569 and 2,785

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Solution

The third proportional to 2,569 and 2,785 is: 3,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569 : 2,785 = 2,785 : x
  2. Step 2: Convert to fraction form
    2,569/2,785 = 2,785/x
  3. Step 3: Cross multiply
    2,569x = 2,785 × 2,785
  4. Step 4: Simplify right side
    2,569x = 7,756,225
  5. Step 5: Solve for x
    x = 7,756,225/2,569
  6. Step 6: Final answer
    x = 3,019.16

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.