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Finding the Third Proportional to 7,971 and 17,115

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Solution

The third proportional to 7,971 and 17,115 is: 36,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971 : 17,115 = 17,115 : x
  2. Step 2: Convert to fraction form
    7,971/17,115 = 17,115/x
  3. Step 3: Cross multiply
    7,971x = 17,115 × 17,115
  4. Step 4: Simplify right side
    7,971x = 292,923,225
  5. Step 5: Solve for x
    x = 292,923,225/7,971
  6. Step 6: Final answer
    x = 36,748.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.