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Finding the Third Proportional to 133,001 and 289,330

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Solution

The third proportional to 133,001 and 289,330 is: 629,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,001 : 289,330 = 289,330 : x
  2. Step 2: Convert to fraction form
    133,001/289,330 = 289,330/x
  3. Step 3: Cross multiply
    133,001x = 289,330 × 289,330
  4. Step 4: Simplify right side
    133,001x = 83,711,848,900
  5. Step 5: Solve for x
    x = 83,711,848,900/133,001
  6. Step 6: Final answer
    x = 629,407.67

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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.