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Finding the Third Proportional to 299,568.38 and 409,272.75

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Solution

The third proportional to 299,568.38 and 409,272.75 is: 559,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,568.38 : 409,272.75 = 409,272.75 : x
  2. Step 2: Convert to fraction form
    299,568.38/409,272.75 = 409,272.75/x
  3. Step 3: Cross multiply
    299,568.38x = 409,272.75 × 409,272.75
  4. Step 4: Simplify right side
    299,568.38x = 167,504,183,892.56
  5. Step 5: Solve for x
    x = 167,504,183,892.56/299,568.38
  6. Step 6: Final answer
    x = 559,151.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.