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Finding the Third Proportional to 218,400 and 333,912

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Solution

The third proportional to 218,400 and 333,912 is: 510,518.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,400 : 333,912 = 333,912 : x
  2. Step 2: Convert to fraction form
    218,400/333,912 = 333,912/x
  3. Step 3: Cross multiply
    218,400x = 333,912 × 333,912
  4. Step 4: Simplify right side
    218,400x = 111,497,223,744
  5. Step 5: Solve for x
    x = 111,497,223,744/218,400
  6. Step 6: Final answer
    x = 510,518.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.