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Finding the Third Proportional to 3,171 and 8,257.50

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Solution

The third proportional to 3,171 and 8,257.50 is: 21,503.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171 : 8,257.50 = 8,257.50 : x
  2. Step 2: Convert to fraction form
    3,171/8,257.50 = 8,257.50/x
  3. Step 3: Cross multiply
    3,171x = 8,257.50 × 8,257.50
  4. Step 4: Simplify right side
    3,171x = 68,186,306.25
  5. Step 5: Solve for x
    x = 68,186,306.25/3,171
  6. Step 6: Final answer
    x = 21,503.09

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.