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Finding the Third Proportional to 216,579 and 324,869

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Solution

The third proportional to 216,579 and 324,869 is: 487,304.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,579 : 324,869 = 324,869 : x
  2. Step 2: Convert to fraction form
    216,579/324,869 = 324,869/x
  3. Step 3: Cross multiply
    216,579x = 324,869 × 324,869
  4. Step 4: Simplify right side
    216,579x = 105,539,867,161
  5. Step 5: Solve for x
    x = 105,539,867,161/216,579
  6. Step 6: Final answer
    x = 487,304.25

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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.