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Finding the Third Proportional to 8,211.38 and 17,858.81

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Solution

The third proportional to 8,211.38 and 17,858.81 is: 38,840.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.38 : 17,858.81 = 17,858.81 : x
  2. Step 2: Convert to fraction form
    8,211.38/17,858.81 = 17,858.81/x
  3. Step 3: Cross multiply
    8,211.38x = 17,858.81 × 17,858.81
  4. Step 4: Simplify right side
    8,211.38x = 318,937,183.91
  5. Step 5: Solve for x
    x = 318,937,183.91/8,211.38
  6. Step 6: Final answer
    x = 38,840.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.