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Finding the Third Proportional to 217,811 and 326,703

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Solution

The third proportional to 217,811 and 326,703 is: 490,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,811 : 326,703 = 326,703 : x
  2. Step 2: Convert to fraction form
    217,811/326,703 = 326,703/x
  3. Step 3: Cross multiply
    217,811x = 326,703 × 326,703
  4. Step 4: Simplify right side
    217,811x = 106,734,850,209
  5. Step 5: Solve for x
    x = 106,734,850,209/217,811
  6. Step 6: Final answer
    x = 490,034.25

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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.