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Finding the Third Proportional to 216,520 and 324,456

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Solution

The third proportional to 216,520 and 324,456 is: 486,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,520 : 324,456 = 324,456 : x
  2. Step 2: Convert to fraction form
    216,520/324,456 = 324,456/x
  3. Step 3: Cross multiply
    216,520x = 324,456 × 324,456
  4. Step 4: Simplify right side
    216,520x = 105,271,695,936
  5. Step 5: Solve for x
    x = 105,271,695,936/216,520
  6. Step 6: Final answer
    x = 486,198.48

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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.