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Finding the Third Proportional to 199,413 and 299,268

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Solution

The third proportional to 199,413 and 299,268 is: 449,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,413 : 299,268 = 299,268 : x
  2. Step 2: Convert to fraction form
    199,413/299,268 = 299,268/x
  3. Step 3: Cross multiply
    199,413x = 299,268 × 299,268
  4. Step 4: Simplify right side
    199,413x = 89,561,335,824
  5. Step 5: Solve for x
    x = 89,561,335,824/199,413
  6. Step 6: Final answer
    x = 449,124.86

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