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Finding the Third Proportional to 99,783.75 and 204,228.75

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Solution

The third proportional to 99,783.75 and 204,228.75 is: 417,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,783.75 : 204,228.75 = 204,228.75 : x
  2. Step 2: Convert to fraction form
    99,783.75/204,228.75 = 204,228.75/x
  3. Step 3: Cross multiply
    99,783.75x = 204,228.75 × 204,228.75
  4. Step 4: Simplify right side
    99,783.75x = 41,709,382,326.56
  5. Step 5: Solve for x
    x = 41,709,382,326.56/99,783.75
  6. Step 6: Final answer
    x = 417,997.74

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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.