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Finding the Third Proportional to 2,545.50 and 3,995.25

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Solution

The third proportional to 2,545.50 and 3,995.25 is: 6,270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.50 : 3,995.25 = 3,995.25 : x
  2. Step 2: Convert to fraction form
    2,545.50/3,995.25 = 3,995.25/x
  3. Step 3: Cross multiply
    2,545.50x = 3,995.25 × 3,995.25
  4. Step 4: Simplify right side
    2,545.50x = 15,962,022.56
  5. Step 5: Solve for x
    x = 15,962,022.56/2,545.50
  6. Step 6: Final answer
    x = 6,270.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.