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Finding the Third Proportional to 8,471.67 and 17,638.17

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Solution

The third proportional to 8,471.67 and 17,638.17 is: 36,722.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.67 : 17,638.17 = 17,638.17 : x
  2. Step 2: Convert to fraction form
    8,471.67/17,638.17 = 17,638.17/x
  3. Step 3: Cross multiply
    8,471.67x = 17,638.17 × 17,638.17
  4. Step 4: Simplify right side
    8,471.67x = 311,105,107.09
  5. Step 5: Solve for x
    x = 311,105,107.09/8,471.67
  6. Step 6: Final answer
    x = 36,722.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.