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Finding the Third Proportional to 21,001 and 31,941

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Solution

The third proportional to 21,001 and 31,941 is: 48,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,001 : 31,941 = 31,941 : x
  2. Step 2: Convert to fraction form
    21,001/31,941 = 31,941/x
  3. Step 3: Cross multiply
    21,001x = 31,941 × 31,941
  4. Step 4: Simplify right side
    21,001x = 1,020,227,481
  5. Step 5: Solve for x
    x = 1,020,227,481/21,001
  6. Step 6: Final answer
    x = 48,579.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.