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Finding the Third Proportional to 638,798 and 888,198

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Solution

The third proportional to 638,798 and 888,198 is: 1,234,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,798 : 888,198 = 888,198 : x
  2. Step 2: Convert to fraction form
    638,798/888,198 = 888,198/x
  3. Step 3: Cross multiply
    638,798x = 888,198 × 888,198
  4. Step 4: Simplify right side
    638,798x = 788,895,687,204
  5. Step 5: Solve for x
    x = 788,895,687,204/638,798
  6. Step 6: Final answer
    x = 1,234,968.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.