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Finding the Third Proportional to 133,566 and 287,868

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Solution

The third proportional to 133,566 and 287,868 is: 620,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,566 : 287,868 = 287,868 : x
  2. Step 2: Convert to fraction form
    133,566/287,868 = 287,868/x
  3. Step 3: Cross multiply
    133,566x = 287,868 × 287,868
  4. Step 4: Simplify right side
    133,566x = 82,867,985,424
  5. Step 5: Solve for x
    x = 82,867,985,424/133,566
  6. Step 6: Final answer
    x = 620,427.25

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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.