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Finding the Third Proportional to 380,372 and 531,744

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Solution

The third proportional to 380,372 and 531,744 is: 743,355.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,372 : 531,744 = 531,744 : x
  2. Step 2: Convert to fraction form
    380,372/531,744 = 531,744/x
  3. Step 3: Cross multiply
    380,372x = 531,744 × 531,744
  4. Step 4: Simplify right side
    380,372x = 282,751,681,536
  5. Step 5: Solve for x
    x = 282,751,681,536/380,372
  6. Step 6: Final answer
    x = 743,355.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.