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Finding the Third Proportional to 4,440.38 and 6,311.81

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Solution

The third proportional to 4,440.38 and 6,311.81 is: 8,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,440.38 : 6,311.81 = 6,311.81 : x
  2. Step 2: Convert to fraction form
    4,440.38/6,311.81 = 6,311.81/x
  3. Step 3: Cross multiply
    4,440.38x = 6,311.81 × 6,311.81
  4. Step 4: Simplify right side
    4,440.38x = 39,838,977.04
  5. Step 5: Solve for x
    x = 39,838,977.04/4,440.38
  6. Step 6: Final answer
    x = 8,971.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.