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Finding the Third Proportional to 21,749.50 and 41,771

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Solution

The third proportional to 21,749.50 and 41,771 is: 80,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,749.50 : 41,771 = 41,771 : x
  2. Step 2: Convert to fraction form
    21,749.50/41,771 = 41,771/x
  3. Step 3: Cross multiply
    21,749.50x = 41,771 × 41,771
  4. Step 4: Simplify right side
    21,749.50x = 1,744,816,441
  5. Step 5: Solve for x
    x = 1,744,816,441/21,749.50
  6. Step 6: Final answer
    x = 80,223.29

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.