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Finding the Third Proportional to 203,578.31 and 299,441.81

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Solution

The third proportional to 203,578.31 and 299,441.81 is: 440,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,578.31 : 299,441.81 = 299,441.81 : x
  2. Step 2: Convert to fraction form
    203,578.31/299,441.81 = 299,441.81/x
  3. Step 3: Cross multiply
    203,578.31x = 299,441.81 × 299,441.81
  4. Step 4: Simplify right side
    203,578.31x = 89,665,399,073.29
  5. Step 5: Solve for x
    x = 89,665,399,073.29/203,578.31
  6. Step 6: Final answer
    x = 440,446.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.