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Finding the Third Proportional to 21,704 and 47,099

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Solution

The third proportional to 21,704 and 47,099 is: 102,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704 : 47,099 = 47,099 : x
  2. Step 2: Convert to fraction form
    21,704/47,099 = 47,099/x
  3. Step 3: Cross multiply
    21,704x = 47,099 × 47,099
  4. Step 4: Simplify right side
    21,704x = 2,218,315,801
  5. Step 5: Solve for x
    x = 2,218,315,801/21,704
  6. Step 6: Final answer
    x = 102,207.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.