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Finding the Third Proportional to 21,586 and 32,793

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Solution

The third proportional to 21,586 and 32,793 is: 49,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,586 : 32,793 = 32,793 : x
  2. Step 2: Convert to fraction form
    21,586/32,793 = 32,793/x
  3. Step 3: Cross multiply
    21,586x = 32,793 × 32,793
  4. Step 4: Simplify right side
    21,586x = 1,075,380,849
  5. Step 5: Solve for x
    x = 1,075,380,849/21,586
  6. Step 6: Final answer
    x = 49,818.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.