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Finding the Third Proportional to 324,102.94 and 490,626.56

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Solution

The third proportional to 324,102.94 and 490,626.56 is: 742,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,102.94 : 490,626.56 = 490,626.56 : x
  2. Step 2: Convert to fraction form
    324,102.94/490,626.56 = 490,626.56/x
  3. Step 3: Cross multiply
    324,102.94x = 490,626.56 × 490,626.56
  4. Step 4: Simplify right side
    324,102.94x = 240,714,423,830.57
  5. Step 5: Solve for x
    x = 240,714,423,830.57/324,102.94
  6. Step 6: Final answer
    x = 742,709.79

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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.