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Finding the Third Proportional to 215,328 and 327,648

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Solution

The third proportional to 215,328 and 327,648 is: 498,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,328 : 327,648 = 327,648 : x
  2. Step 2: Convert to fraction form
    215,328/327,648 = 327,648/x
  3. Step 3: Cross multiply
    215,328x = 327,648 × 327,648
  4. Step 4: Simplify right side
    215,328x = 107,353,211,904
  5. Step 5: Solve for x
    x = 107,353,211,904/215,328
  6. Step 6: Final answer
    x = 498,556.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.