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Finding the Third Proportional to 21,762 and 29,171

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Solution

The third proportional to 21,762 and 29,171 is: 39,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762 : 29,171 = 29,171 : x
  2. Step 2: Convert to fraction form
    21,762/29,171 = 29,171/x
  3. Step 3: Cross multiply
    21,762x = 29,171 × 29,171
  4. Step 4: Simplify right side
    21,762x = 850,947,241
  5. Step 5: Solve for x
    x = 850,947,241/21,762
  6. Step 6: Final answer
    x = 39,102.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.