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Finding the Third Proportional to 324,144 and 490,692

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Solution

The third proportional to 324,144 and 490,692 is: 742,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,144 : 490,692 = 490,692 : x
  2. Step 2: Convert to fraction form
    324,144/490,692 = 490,692/x
  3. Step 3: Cross multiply
    324,144x = 490,692 × 490,692
  4. Step 4: Simplify right side
    324,144x = 240,778,638,864
  5. Step 5: Solve for x
    x = 240,778,638,864/324,144
  6. Step 6: Final answer
    x = 742,813.81

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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.