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Finding the Third Proportional to 100,269 and 213,543

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Solution

The third proportional to 100,269 and 213,543 is: 454,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,269 : 213,543 = 213,543 : x
  2. Step 2: Convert to fraction form
    100,269/213,543 = 213,543/x
  3. Step 3: Cross multiply
    100,269x = 213,543 × 213,543
  4. Step 4: Simplify right side
    100,269x = 45,600,612,849
  5. Step 5: Solve for x
    x = 45,600,612,849/100,269
  6. Step 6: Final answer
    x = 454,782.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.