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Finding the Third Proportional to 21,918 and 29,469

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Solution

The third proportional to 21,918 and 29,469 is: 39,621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,918 : 29,469 = 29,469 : x
  2. Step 2: Convert to fraction form
    21,918/29,469 = 29,469/x
  3. Step 3: Cross multiply
    21,918x = 29,469 × 29,469
  4. Step 4: Simplify right side
    21,918x = 868,421,961
  5. Step 5: Solve for x
    x = 868,421,961/21,918
  6. Step 6: Final answer
    x = 39,621.41

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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.