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Finding the Third Proportional to 2,528.16 and 5,439.66

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Solution

The third proportional to 2,528.16 and 5,439.66 is: 11,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.16 : 5,439.66 = 5,439.66 : x
  2. Step 2: Convert to fraction form
    2,528.16/5,439.66 = 5,439.66/x
  3. Step 3: Cross multiply
    2,528.16x = 5,439.66 × 5,439.66
  4. Step 4: Simplify right side
    2,528.16x = 29,589,860.12
  5. Step 5: Solve for x
    x = 29,589,860.12/2,528.16
  6. Step 6: Final answer
    x = 11,704.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.