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Finding the Third Proportional to 324,116 and 490,645

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Solution

The third proportional to 324,116 and 490,645 is: 742,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,116 : 490,645 = 490,645 : x
  2. Step 2: Convert to fraction form
    324,116/490,645 = 490,645/x
  3. Step 3: Cross multiply
    324,116x = 490,645 × 490,645
  4. Step 4: Simplify right side
    324,116x = 240,732,516,025
  5. Step 5: Solve for x
    x = 240,732,516,025/324,116
  6. Step 6: Final answer
    x = 742,735.67

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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.