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Finding the Third Proportional to 323,736 and 490,119

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Solution

The third proportional to 323,736 and 490,119 is: 742,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,736 : 490,119 = 490,119 : x
  2. Step 2: Convert to fraction form
    323,736/490,119 = 490,119/x
  3. Step 3: Cross multiply
    323,736x = 490,119 × 490,119
  4. Step 4: Simplify right side
    323,736x = 240,216,634,161
  5. Step 5: Solve for x
    x = 240,216,634,161/323,736
  6. Step 6: Final answer
    x = 742,013.97

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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.