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Finding the Third Proportional to 638,698 and 888,049

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Solution

The third proportional to 638,698 and 888,049 is: 1,234,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,698 : 888,049 = 888,049 : x
  2. Step 2: Convert to fraction form
    638,698/888,049 = 888,049/x
  3. Step 3: Cross multiply
    638,698x = 888,049 × 888,049
  4. Step 4: Simplify right side
    638,698x = 788,631,026,401
  5. Step 5: Solve for x
    x = 788,631,026,401/638,698
  6. Step 6: Final answer
    x = 1,234,747.92

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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.