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Finding the Third Proportional to 2,362.50 and 3,520.97

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Solution

The third proportional to 2,362.50 and 3,520.97 is: 5,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.50 : 3,520.97 = 3,520.97 : x
  2. Step 2: Convert to fraction form
    2,362.50/3,520.97 = 3,520.97/x
  3. Step 3: Cross multiply
    2,362.50x = 3,520.97 × 3,520.97
  4. Step 4: Simplify right side
    2,362.50x = 12,397,220.94
  5. Step 5: Solve for x
    x = 12,397,220.94/2,362.50
  6. Step 6: Final answer
    x = 5,247.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.