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Finding the Third Proportional to 99,188 and 215,866

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Solution

The third proportional to 99,188 and 215,866 is: 469,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,188 : 215,866 = 215,866 : x
  2. Step 2: Convert to fraction form
    99,188/215,866 = 215,866/x
  3. Step 3: Cross multiply
    99,188x = 215,866 × 215,866
  4. Step 4: Simplify right side
    99,188x = 46,598,129,956
  5. Step 5: Solve for x
    x = 46,598,129,956/99,188
  6. Step 6: Final answer
    x = 469,796.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.