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Finding the Third Proportional to 21,578 and 47,041

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Solution

The third proportional to 21,578 and 47,041 is: 102,551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578 : 47,041 = 47,041 : x
  2. Step 2: Convert to fraction form
    21,578/47,041 = 47,041/x
  3. Step 3: Cross multiply
    21,578x = 47,041 × 47,041
  4. Step 4: Simplify right side
    21,578x = 2,212,855,681
  5. Step 5: Solve for x
    x = 2,212,855,681/21,578
  6. Step 6: Final answer
    x = 102,551.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.