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Finding the Third Proportional to 324,122 and 490,653

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Solution

The third proportional to 324,122 and 490,653 is: 742,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,122 : 490,653 = 490,653 : x
  2. Step 2: Convert to fraction form
    324,122/490,653 = 490,653/x
  3. Step 3: Cross multiply
    324,122x = 490,653 × 490,653
  4. Step 4: Simplify right side
    324,122x = 240,740,366,409
  5. Step 5: Solve for x
    x = 240,740,366,409/324,122
  6. Step 6: Final answer
    x = 742,746.15

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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.