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Finding the Third Proportional to 133,986 and 287,398

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Solution

The third proportional to 133,986 and 287,398 is: 616,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,986 : 287,398 = 287,398 : x
  2. Step 2: Convert to fraction form
    133,986/287,398 = 287,398/x
  3. Step 3: Cross multiply
    133,986x = 287,398 × 287,398
  4. Step 4: Simplify right side
    133,986x = 82,597,610,404
  5. Step 5: Solve for x
    x = 82,597,610,404/133,986
  6. Step 6: Final answer
    x = 616,464.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.