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Finding the Third Proportional to 289,916 and 636,999

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Solution

The third proportional to 289,916 and 636,999 is: 1,399,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,916 : 636,999 = 636,999 : x
  2. Step 2: Convert to fraction form
    289,916/636,999 = 636,999/x
  3. Step 3: Cross multiply
    289,916x = 636,999 × 636,999
  4. Step 4: Simplify right side
    289,916x = 405,767,726,001
  5. Step 5: Solve for x
    x = 405,767,726,001/289,916
  6. Step 6: Final answer
    x = 1,399,604.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.