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Finding the Third Proportional to 133,443 and 288,756

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Solution

The third proportional to 133,443 and 288,756 is: 624,836.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,443 : 288,756 = 288,756 : x
  2. Step 2: Convert to fraction form
    133,443/288,756 = 288,756/x
  3. Step 3: Cross multiply
    133,443x = 288,756 × 288,756
  4. Step 4: Simplify right side
    133,443x = 83,380,027,536
  5. Step 5: Solve for x
    x = 83,380,027,536/133,443
  6. Step 6: Final answer
    x = 624,836.28

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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.