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Finding the Third Proportional to 11,510.25 and 25,440.38

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Solution

The third proportional to 11,510.25 and 25,440.38 is: 56,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,510.25 : 25,440.38 = 25,440.38 : x
  2. Step 2: Convert to fraction form
    11,510.25/25,440.38 = 25,440.38/x
  3. Step 3: Cross multiply
    11,510.25x = 25,440.38 × 25,440.38
  4. Step 4: Simplify right side
    11,510.25x = 647,212,680.14
  5. Step 5: Solve for x
    x = 647,212,680.14/11,510.25
  6. Step 6: Final answer
    x = 56,229.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.