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Finding the Third Proportional to 20,842 and 29,782

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Solution

The third proportional to 20,842 and 29,782 is: 42,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842 : 29,782 = 29,782 : x
  2. Step 2: Convert to fraction form
    20,842/29,782 = 29,782/x
  3. Step 3: Cross multiply
    20,842x = 29,782 × 29,782
  4. Step 4: Simplify right side
    20,842x = 886,967,524
  5. Step 5: Solve for x
    x = 886,967,524/20,842
  6. Step 6: Final answer
    x = 42,556.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.