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Finding the Third Proportional to 216,584 and 324,876

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Solution

The third proportional to 216,584 and 324,876 is: 487,314

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,584 : 324,876 = 324,876 : x
  2. Step 2: Convert to fraction form
    216,584/324,876 = 324,876/x
  3. Step 3: Cross multiply
    216,584x = 324,876 × 324,876
  4. Step 4: Simplify right side
    216,584x = 105,544,415,376
  5. Step 5: Solve for x
    x = 105,544,415,376/216,584
  6. Step 6: Final answer
    x = 487,314

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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.