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Finding the Third Proportional to 20,697 and 43,269

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Solution

The third proportional to 20,697 and 43,269 is: 90,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697 : 43,269 = 43,269 : x
  2. Step 2: Convert to fraction form
    20,697/43,269 = 43,269/x
  3. Step 3: Cross multiply
    20,697x = 43,269 × 43,269
  4. Step 4: Simplify right side
    20,697x = 1,872,206,361
  5. Step 5: Solve for x
    x = 1,872,206,361/20,697
  6. Step 6: Final answer
    x = 90,457.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.