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Finding the Third Proportional to 99,471.38 and 203,538.38

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Solution

The third proportional to 99,471.38 and 203,538.38 is: 416,480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,471.38 : 203,538.38 = 203,538.38 : x
  2. Step 2: Convert to fraction form
    99,471.38/203,538.38 = 203,538.38/x
  3. Step 3: Cross multiply
    99,471.38x = 203,538.38 × 203,538.38
  4. Step 4: Simplify right side
    99,471.38x = 41,427,870,097.64
  5. Step 5: Solve for x
    x = 41,427,870,097.64/99,471.38
  6. Step 6: Final answer
    x = 416,480.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.