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Finding the Third Proportional to 20,791 and 39,666

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Solution

The third proportional to 20,791 and 39,666 is: 75,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791 : 39,666 = 39,666 : x
  2. Step 2: Convert to fraction form
    20,791/39,666 = 39,666/x
  3. Step 3: Cross multiply
    20,791x = 39,666 × 39,666
  4. Step 4: Simplify right side
    20,791x = 1,573,391,556
  5. Step 5: Solve for x
    x = 1,573,391,556/20,791
  6. Step 6: Final answer
    x = 75,676.57

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.