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Finding the Third Proportional to 133,566 and 287,874

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Solution

The third proportional to 133,566 and 287,874 is: 620,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,566 : 287,874 = 287,874 : x
  2. Step 2: Convert to fraction form
    133,566/287,874 = 287,874/x
  3. Step 3: Cross multiply
    133,566x = 287,874 × 287,874
  4. Step 4: Simplify right side
    133,566x = 82,871,439,876
  5. Step 5: Solve for x
    x = 82,871,439,876/133,566
  6. Step 6: Final answer
    x = 620,453.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.