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Finding the Third Proportional to 99,723 and 215,302

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Solution

The third proportional to 99,723 and 215,302 is: 464,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,723 : 215,302 = 215,302 : x
  2. Step 2: Convert to fraction form
    99,723/215,302 = 215,302/x
  3. Step 3: Cross multiply
    99,723x = 215,302 × 215,302
  4. Step 4: Simplify right side
    99,723x = 46,354,951,204
  5. Step 5: Solve for x
    x = 46,354,951,204/99,723
  6. Step 6: Final answer
    x = 464,837.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.