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Finding the Third Proportional to 21,621 and 27,626

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Solution

The third proportional to 21,621 and 27,626 is: 35,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,621 : 27,626 = 27,626 : x
  2. Step 2: Convert to fraction form
    21,621/27,626 = 27,626/x
  3. Step 3: Cross multiply
    21,621x = 27,626 × 27,626
  4. Step 4: Simplify right side
    21,621x = 763,195,876
  5. Step 5: Solve for x
    x = 763,195,876/21,621
  6. Step 6: Final answer
    x = 35,298.82

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.