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Finding the Third Proportional to 413,910 and 639,198

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Solution

The third proportional to 413,910 and 639,198 is: 987,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,910 : 639,198 = 639,198 : x
  2. Step 2: Convert to fraction form
    413,910/639,198 = 639,198/x
  3. Step 3: Cross multiply
    413,910x = 639,198 × 639,198
  4. Step 4: Simplify right side
    413,910x = 408,574,083,204
  5. Step 5: Solve for x
    x = 408,574,083,204/413,910
  6. Step 6: Final answer
    x = 987,108.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.