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Finding the Third Proportional to 324,111.50 and 490,640.50

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Solution

The third proportional to 324,111.50 and 490,640.50 is: 742,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,111.50 : 490,640.50 = 490,640.50 : x
  2. Step 2: Convert to fraction form
    324,111.50/490,640.50 = 490,640.50/x
  3. Step 3: Cross multiply
    324,111.50x = 490,640.50 × 490,640.50
  4. Step 4: Simplify right side
    324,111.50x = 240,728,100,240.25
  5. Step 5: Solve for x
    x = 240,728,100,240.25/324,111.50
  6. Step 6: Final answer
    x = 742,732.36

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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.