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Finding the Third Proportional to 638,694 and 888,045

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Solution

The third proportional to 638,694 and 888,045 is: 1,234,744.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,694 : 888,045 = 888,045 : x
  2. Step 2: Convert to fraction form
    638,694/888,045 = 888,045/x
  3. Step 3: Cross multiply
    638,694x = 888,045 × 888,045
  4. Step 4: Simplify right side
    638,694x = 788,623,922,025
  5. Step 5: Solve for x
    x = 788,623,922,025/638,694
  6. Step 6: Final answer
    x = 1,234,744.53

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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.