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Finding the Third Proportional to 3,640.50 and 8,412.19

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Solution

The third proportional to 3,640.50 and 8,412.19 is: 19,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.50 : 8,412.19 = 8,412.19 : x
  2. Step 2: Convert to fraction form
    3,640.50/8,412.19 = 8,412.19/x
  3. Step 3: Cross multiply
    3,640.50x = 8,412.19 × 8,412.19
  4. Step 4: Simplify right side
    3,640.50x = 70,764,898.54
  5. Step 5: Solve for x
    x = 70,764,898.54/3,640.50
  6. Step 6: Final answer
    x = 19,438.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.