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Finding the Third Proportional to 2,872.13 and 3,069.56

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Solution

The third proportional to 2,872.13 and 3,069.56 is: 3,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.13 : 3,069.56 = 3,069.56 : x
  2. Step 2: Convert to fraction form
    2,872.13/3,069.56 = 3,069.56/x
  3. Step 3: Cross multiply
    2,872.13x = 3,069.56 × 3,069.56
  4. Step 4: Simplify right side
    2,872.13x = 9,422,213.94
  5. Step 5: Solve for x
    x = 9,422,213.94/2,872.13
  6. Step 6: Final answer
    x = 3,280.57

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.