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Finding the Third Proportional to 216,896 and 324,064

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Solution

The third proportional to 216,896 and 324,064 is: 484,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,896 : 324,064 = 324,064 : x
  2. Step 2: Convert to fraction form
    216,896/324,064 = 324,064/x
  3. Step 3: Cross multiply
    216,896x = 324,064 × 324,064
  4. Step 4: Simplify right side
    216,896x = 105,017,476,096
  5. Step 5: Solve for x
    x = 105,017,476,096/216,896
  6. Step 6: Final answer
    x = 484,183.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.