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Finding the Third Proportional to 203,910 and 299,915

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Solution

The third proportional to 203,910 and 299,915 is: 441,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,910 : 299,915 = 299,915 : x
  2. Step 2: Convert to fraction form
    203,910/299,915 = 299,915/x
  3. Step 3: Cross multiply
    203,910x = 299,915 × 299,915
  4. Step 4: Simplify right side
    203,910x = 89,949,007,225
  5. Step 5: Solve for x
    x = 89,949,007,225/203,910
  6. Step 6: Final answer
    x = 441,121.12

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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.