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Finding the Third Proportional to 3,489.75 and 7,047.84

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Solution

The third proportional to 3,489.75 and 7,047.84 is: 14,233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.75 : 7,047.84 = 7,047.84 : x
  2. Step 2: Convert to fraction form
    3,489.75/7,047.84 = 7,047.84/x
  3. Step 3: Cross multiply
    3,489.75x = 7,047.84 × 7,047.84
  4. Step 4: Simplify right side
    3,489.75x = 49,672,101.52
  5. Step 5: Solve for x
    x = 49,672,101.52/3,489.75
  6. Step 6: Final answer
    x = 14,233.71

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.