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Finding the Third Proportional to 217,789 and 326,683

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Solution

The third proportional to 217,789 and 326,683 is: 490,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,789 : 326,683 = 326,683 : x
  2. Step 2: Convert to fraction form
    217,789/326,683 = 326,683/x
  3. Step 3: Cross multiply
    217,789x = 326,683 × 326,683
  4. Step 4: Simplify right side
    217,789x = 106,721,782,489
  5. Step 5: Solve for x
    x = 106,721,782,489/217,789
  6. Step 6: Final answer
    x = 490,023.75

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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.