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Finding the Third Proportional to 21,997 and 47,731

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Solution

The third proportional to 21,997 and 47,731 is: 103,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997 : 47,731 = 47,731 : x
  2. Step 2: Convert to fraction form
    21,997/47,731 = 47,731/x
  3. Step 3: Cross multiply
    21,997x = 47,731 × 47,731
  4. Step 4: Simplify right side
    21,997x = 2,278,248,361
  5. Step 5: Solve for x
    x = 2,278,248,361/21,997
  6. Step 6: Final answer
    x = 103,570.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.