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Finding the Third Proportional to 324,112.50 and 490,640.25

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Solution

The third proportional to 324,112.50 and 490,640.25 is: 742,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,112.50 : 490,640.25 = 490,640.25 : x
  2. Step 2: Convert to fraction form
    324,112.50/490,640.25 = 490,640.25/x
  3. Step 3: Cross multiply
    324,112.50x = 490,640.25 × 490,640.25
  4. Step 4: Simplify right side
    324,112.50x = 240,727,854,920.06
  5. Step 5: Solve for x
    x = 240,727,854,920.06/324,112.50
  6. Step 6: Final answer
    x = 742,729.31

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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.