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Finding the Third Proportional to 217,770 and 326,655

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Solution

The third proportional to 217,770 and 326,655 is: 489,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,770 : 326,655 = 326,655 : x
  2. Step 2: Convert to fraction form
    217,770/326,655 = 326,655/x
  3. Step 3: Cross multiply
    217,770x = 326,655 × 326,655
  4. Step 4: Simplify right side
    217,770x = 106,703,489,025
  5. Step 5: Solve for x
    x = 106,703,489,025/217,770
  6. Step 6: Final answer
    x = 489,982.50

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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.