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Finding the Third Proportional to 203,690 and 299,622

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Solution

The third proportional to 203,690 and 299,622 is: 440,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,690 : 299,622 = 299,622 : x
  2. Step 2: Convert to fraction form
    203,690/299,622 = 299,622/x
  3. Step 3: Cross multiply
    203,690x = 299,622 × 299,622
  4. Step 4: Simplify right side
    203,690x = 89,773,342,884
  5. Step 5: Solve for x
    x = 89,773,342,884/203,690
  6. Step 6: Final answer
    x = 440,735.15

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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.