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Finding the Third Proportional to 99,160.31 and 203,600.81

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Solution

The third proportional to 99,160.31 and 203,600.81 is: 418,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,160.31 : 203,600.81 = 203,600.81 : x
  2. Step 2: Convert to fraction form
    99,160.31/203,600.81 = 203,600.81/x
  3. Step 3: Cross multiply
    99,160.31x = 203,600.81 × 203,600.81
  4. Step 4: Simplify right side
    99,160.31x = 41,453,290,850.66
  5. Step 5: Solve for x
    x = 41,453,290,850.66/99,160.31
  6. Step 6: Final answer
    x = 418,043.16

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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.