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Finding the Third Proportional to 307,938 and 685,828

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Solution

The third proportional to 307,938 and 685,828 is: 1,527,450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,938 : 685,828 = 685,828 : x
  2. Step 2: Convert to fraction form
    307,938/685,828 = 685,828/x
  3. Step 3: Cross multiply
    307,938x = 685,828 × 685,828
  4. Step 4: Simplify right side
    307,938x = 470,360,045,584
  5. Step 5: Solve for x
    x = 470,360,045,584/307,938
  6. Step 6: Final answer
    x = 1,527,450.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.