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Finding the Third Proportional to 217,772 and 326,660

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Solution

The third proportional to 217,772 and 326,660 is: 489,993.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,772 : 326,660 = 326,660 : x
  2. Step 2: Convert to fraction form
    217,772/326,660 = 326,660/x
  3. Step 3: Cross multiply
    217,772x = 326,660 × 326,660
  4. Step 4: Simplify right side
    217,772x = 106,706,755,600
  5. Step 5: Solve for x
    x = 106,706,755,600/217,772
  6. Step 6: Final answer
    x = 489,993.00

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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.