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Finding the Third Proportional to 326,686 and 490,027

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Solution

The third proportional to 326,686 and 490,027 is: 735,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,686 : 490,027 = 490,027 : x
  2. Step 2: Convert to fraction form
    326,686/490,027 = 490,027/x
  3. Step 3: Cross multiply
    326,686x = 490,027 × 490,027
  4. Step 4: Simplify right side
    326,686x = 240,126,460,729
  5. Step 5: Solve for x
    x = 240,126,460,729/326,686
  6. Step 6: Final answer
    x = 735,037.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.