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Finding the Third Proportional to 203,908 and 299,912

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Solution

The third proportional to 203,908 and 299,912 is: 441,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,908 : 299,912 = 299,912 : x
  2. Step 2: Convert to fraction form
    203,908/299,912 = 299,912/x
  3. Step 3: Cross multiply
    203,908x = 299,912 × 299,912
  4. Step 4: Simplify right side
    203,908x = 89,947,207,744
  5. Step 5: Solve for x
    x = 89,947,207,744/203,908
  6. Step 6: Final answer
    x = 441,116.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.