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Finding the Third Proportional to 3,971.53 and 8,634.73

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Solution

The third proportional to 3,971.53 and 8,634.73 is: 18,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.53 : 8,634.73 = 8,634.73 : x
  2. Step 2: Convert to fraction form
    3,971.53/8,634.73 = 8,634.73/x
  3. Step 3: Cross multiply
    3,971.53x = 8,634.73 × 8,634.73
  4. Step 4: Simplify right side
    3,971.53x = 74,558,502.81
  5. Step 5: Solve for x
    x = 74,558,502.81/3,971.53
  6. Step 6: Final answer
    x = 18,773.24

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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.