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Finding the Third Proportional to 132,936 and 289,200

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Solution

The third proportional to 132,936 and 289,200 is: 629,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,936 : 289,200 = 289,200 : x
  2. Step 2: Convert to fraction form
    132,936/289,200 = 289,200/x
  3. Step 3: Cross multiply
    132,936x = 289,200 × 289,200
  4. Step 4: Simplify right side
    132,936x = 83,636,640,000
  5. Step 5: Solve for x
    x = 83,636,640,000/132,936
  6. Step 6: Final answer
    x = 629,149.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.