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Finding the Third Proportional to 216,515 and 324,448

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Solution

The third proportional to 216,515 and 324,448 is: 486,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,515 : 324,448 = 324,448 : x
  2. Step 2: Convert to fraction form
    216,515/324,448 = 324,448/x
  3. Step 3: Cross multiply
    216,515x = 324,448 × 324,448
  4. Step 4: Simplify right side
    216,515x = 105,266,504,704
  5. Step 5: Solve for x
    x = 105,266,504,704/216,515
  6. Step 6: Final answer
    x = 486,185.74

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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.