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Finding the Third Proportional to 203,514 and 299,385

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Solution

The third proportional to 203,514 and 299,385 is: 440,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,514 : 299,385 = 299,385 : x
  2. Step 2: Convert to fraction form
    203,514/299,385 = 299,385/x
  3. Step 3: Cross multiply
    203,514x = 299,385 × 299,385
  4. Step 4: Simplify right side
    203,514x = 89,631,378,225
  5. Step 5: Solve for x
    x = 89,631,378,225/203,514
  6. Step 6: Final answer
    x = 440,418.73

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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.