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Finding the Third Proportional to 21,638 and 28,933

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Solution

The third proportional to 21,638 and 28,933 is: 38,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638 : 28,933 = 28,933 : x
  2. Step 2: Convert to fraction form
    21,638/28,933 = 28,933/x
  3. Step 3: Cross multiply
    21,638x = 28,933 × 28,933
  4. Step 4: Simplify right side
    21,638x = 837,118,489
  5. Step 5: Solve for x
    x = 837,118,489/21,638
  6. Step 6: Final answer
    x = 38,687.42

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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.