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Finding the Third Proportional to 3,407.91 and 8,319.80

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Solution

The third proportional to 3,407.91 and 8,319.80 is: 20,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.91 : 8,319.80 = 8,319.80 : x
  2. Step 2: Convert to fraction form
    3,407.91/8,319.80 = 8,319.80/x
  3. Step 3: Cross multiply
    3,407.91x = 8,319.80 × 8,319.80
  4. Step 4: Simplify right side
    3,407.91x = 69,219,020.04
  5. Step 5: Solve for x
    x = 69,219,020.04/3,407.91
  6. Step 6: Final answer
    x = 20,311.30

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.