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Finding the Third Proportional to 3,930.19 and 7,463.81

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Solution

The third proportional to 3,930.19 and 7,463.81 is: 14,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.19 : 7,463.81 = 7,463.81 : x
  2. Step 2: Convert to fraction form
    3,930.19/7,463.81 = 7,463.81/x
  3. Step 3: Cross multiply
    3,930.19x = 7,463.81 × 7,463.81
  4. Step 4: Simplify right side
    3,930.19x = 55,708,497.04
  5. Step 5: Solve for x
    x = 55,708,497.04/3,930.19
  6. Step 6: Final answer
    x = 14,174.51

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.