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Finding the Third Proportional to 101,338 and 215,797

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Solution

The third proportional to 101,338 and 215,797 is: 459,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,338 : 215,797 = 215,797 : x
  2. Step 2: Convert to fraction form
    101,338/215,797 = 215,797/x
  3. Step 3: Cross multiply
    101,338x = 215,797 × 215,797
  4. Step 4: Simplify right side
    101,338x = 46,568,345,209
  5. Step 5: Solve for x
    x = 46,568,345,209/101,338
  6. Step 6: Final answer
    x = 459,534.88

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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.