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Finding the Third Proportional to 21,663 and 28,296

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Solution

The third proportional to 21,663 and 28,296 is: 36,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,663 : 28,296 = 28,296 : x
  2. Step 2: Convert to fraction form
    21,663/28,296 = 28,296/x
  3. Step 3: Cross multiply
    21,663x = 28,296 × 28,296
  4. Step 4: Simplify right side
    21,663x = 800,663,616
  5. Step 5: Solve for x
    x = 800,663,616/21,663
  6. Step 6: Final answer
    x = 36,959.96

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.