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Finding the Third Proportional to 3,823.13 and 8,398.31

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Solution

The third proportional to 3,823.13 and 8,398.31 is: 18,448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.13 : 8,398.31 = 8,398.31 : x
  2. Step 2: Convert to fraction form
    3,823.13/8,398.31 = 8,398.31/x
  3. Step 3: Cross multiply
    3,823.13x = 8,398.31 × 8,398.31
  4. Step 4: Simplify right side
    3,823.13x = 70,531,652.85
  5. Step 5: Solve for x
    x = 70,531,652.85/3,823.13
  6. Step 6: Final answer
    x = 18,448.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.