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Finding the Third Proportional to 2,382.42 and 5,133.26

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Solution

The third proportional to 2,382.42 and 5,133.26 is: 11,060.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.42 : 5,133.26 = 5,133.26 : x
  2. Step 2: Convert to fraction form
    2,382.42/5,133.26 = 5,133.26/x
  3. Step 3: Cross multiply
    2,382.42x = 5,133.26 × 5,133.26
  4. Step 4: Simplify right side
    2,382.42x = 26,350,320.73
  5. Step 5: Solve for x
    x = 26,350,320.73/2,382.42
  6. Step 6: Final answer
    x = 11,060.32

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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.