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Finding the Third Proportional to 216,180 and 324,962

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Solution

The third proportional to 216,180 and 324,962 is: 488,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,180 : 324,962 = 324,962 : x
  2. Step 2: Convert to fraction form
    216,180/324,962 = 324,962/x
  3. Step 3: Cross multiply
    216,180x = 324,962 × 324,962
  4. Step 4: Simplify right side
    216,180x = 105,600,301,444
  5. Step 5: Solve for x
    x = 105,600,301,444/216,180
  6. Step 6: Final answer
    x = 488,483.22

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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.