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Finding the Third Proportional to 21,839 and 32,939

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Solution

The third proportional to 21,839 and 32,939 is: 49,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,839 : 32,939 = 32,939 : x
  2. Step 2: Convert to fraction form
    21,839/32,939 = 32,939/x
  3. Step 3: Cross multiply
    21,839x = 32,939 × 32,939
  4. Step 4: Simplify right side
    21,839x = 1,084,977,721
  5. Step 5: Solve for x
    x = 1,084,977,721/21,839
  6. Step 6: Final answer
    x = 49,680.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.