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Finding the Third Proportional to 21,074 and 28,279

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Solution

The third proportional to 21,074 and 28,279 is: 37,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074 : 28,279 = 28,279 : x
  2. Step 2: Convert to fraction form
    21,074/28,279 = 28,279/x
  3. Step 3: Cross multiply
    21,074x = 28,279 × 28,279
  4. Step 4: Simplify right side
    21,074x = 799,701,841
  5. Step 5: Solve for x
    x = 799,701,841/21,074
  6. Step 6: Final answer
    x = 37,947.32

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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.