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Finding the Third Proportional to 21,764 and 27,669

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Solution

The third proportional to 21,764 and 27,669 is: 35,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,764 : 27,669 = 27,669 : x
  2. Step 2: Convert to fraction form
    21,764/27,669 = 27,669/x
  3. Step 3: Cross multiply
    21,764x = 27,669 × 27,669
  4. Step 4: Simplify right side
    21,764x = 765,573,561
  5. Step 5: Solve for x
    x = 765,573,561/21,764
  6. Step 6: Final answer
    x = 35,176.14

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.