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Finding the Third Proportional to 21,144 and 29,561

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Solution

The third proportional to 21,144 and 29,561 is: 41,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144 : 29,561 = 29,561 : x
  2. Step 2: Convert to fraction form
    21,144/29,561 = 29,561/x
  3. Step 3: Cross multiply
    21,144x = 29,561 × 29,561
  4. Step 4: Simplify right side
    21,144x = 873,852,721
  5. Step 5: Solve for x
    x = 873,852,721/21,144
  6. Step 6: Final answer
    x = 41,328.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.