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Finding the Third Proportional to 217,750 and 326,625

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Solution

The third proportional to 217,750 and 326,625 is: 489,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,750 : 326,625 = 326,625 : x
  2. Step 2: Convert to fraction form
    217,750/326,625 = 326,625/x
  3. Step 3: Cross multiply
    217,750x = 326,625 × 326,625
  4. Step 4: Simplify right side
    217,750x = 106,683,890,625
  5. Step 5: Solve for x
    x = 106,683,890,625/217,750
  6. Step 6: Final answer
    x = 489,937.50

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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.