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Finding the Third Proportional to 323,740 and 490,125

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Solution

The third proportional to 323,740 and 490,125 is: 742,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,740 : 490,125 = 490,125 : x
  2. Step 2: Convert to fraction form
    323,740/490,125 = 490,125/x
  3. Step 3: Cross multiply
    323,740x = 490,125 × 490,125
  4. Step 4: Simplify right side
    323,740x = 240,222,515,625
  5. Step 5: Solve for x
    x = 240,222,515,625/323,740
  6. Step 6: Final answer
    x = 742,022.97

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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.