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Finding the Third Proportional to 299,427.75 and 449,142.75

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Solution

The third proportional to 299,427.75 and 449,142.75 is: 673,715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,427.75 : 449,142.75 = 449,142.75 : x
  2. Step 2: Convert to fraction form
    299,427.75/449,142.75 = 449,142.75/x
  3. Step 3: Cross multiply
    299,427.75x = 449,142.75 × 449,142.75
  4. Step 4: Simplify right side
    299,427.75x = 201,729,209,877.56
  5. Step 5: Solve for x
    x = 201,729,209,877.56/299,427.75
  6. Step 6: Final answer
    x = 673,715.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.