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Finding the Third Proportional to 133,880 and 289,801

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Solution

The third proportional to 133,880 and 289,801 is: 627,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,880 : 289,801 = 289,801 : x
  2. Step 2: Convert to fraction form
    133,880/289,801 = 289,801/x
  3. Step 3: Cross multiply
    133,880x = 289,801 × 289,801
  4. Step 4: Simplify right side
    133,880x = 83,984,619,601
  5. Step 5: Solve for x
    x = 83,984,619,601/133,880
  6. Step 6: Final answer
    x = 627,312.67

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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.