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Finding the Third Proportional to 216,612 and 324,918

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Solution

The third proportional to 216,612 and 324,918 is: 487,377

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,612 : 324,918 = 324,918 : x
  2. Step 2: Convert to fraction form
    216,612/324,918 = 324,918/x
  3. Step 3: Cross multiply
    216,612x = 324,918 × 324,918
  4. Step 4: Simplify right side
    216,612x = 105,571,706,724
  5. Step 5: Solve for x
    x = 105,571,706,724/216,612
  6. Step 6: Final answer
    x = 487,377

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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.