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Finding the Third Proportional to 7,894 and 20,696

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Solution

The third proportional to 7,894 and 20,696 is: 54,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894 : 20,696 = 20,696 : x
  2. Step 2: Convert to fraction form
    7,894/20,696 = 20,696/x
  3. Step 3: Cross multiply
    7,894x = 20,696 × 20,696
  4. Step 4: Simplify right side
    7,894x = 428,324,416
  5. Step 5: Solve for x
    x = 428,324,416/7,894
  6. Step 6: Final answer
    x = 54,259.49

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.