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Finding the Third Proportional to 324,117 and 490,647

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Solution

The third proportional to 324,117 and 490,647 is: 742,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,117 : 490,647 = 490,647 : x
  2. Step 2: Convert to fraction form
    324,117/490,647 = 490,647/x
  3. Step 3: Cross multiply
    324,117x = 490,647 × 490,647
  4. Step 4: Simplify right side
    324,117x = 240,734,478,609
  5. Step 5: Solve for x
    x = 240,734,478,609/324,117
  6. Step 6: Final answer
    x = 742,739.44

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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.