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Finding the Third Proportional to 2,040.19 and 5,132.25

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Solution

The third proportional to 2,040.19 and 5,132.25 is: 12,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.19 : 5,132.25 = 5,132.25 : x
  2. Step 2: Convert to fraction form
    2,040.19/5,132.25 = 5,132.25/x
  3. Step 3: Cross multiply
    2,040.19x = 5,132.25 × 5,132.25
  4. Step 4: Simplify right side
    2,040.19x = 26,339,990.06
  5. Step 5: Solve for x
    x = 26,339,990.06/2,040.19
  6. Step 6: Final answer
    x = 12,910.57

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.