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Finding the Third Proportional to 324,110 and 490,638

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Solution

The third proportional to 324,110 and 490,638 is: 742,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,110 : 490,638 = 490,638 : x
  2. Step 2: Convert to fraction form
    324,110/490,638 = 490,638/x
  3. Step 3: Cross multiply
    324,110x = 490,638 × 490,638
  4. Step 4: Simplify right side
    324,110x = 240,725,647,044
  5. Step 5: Solve for x
    x = 240,725,647,044/324,110
  6. Step 6: Final answer
    x = 742,728.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.