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Finding the Third Proportional to 289,998 and 638,860

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Solution

The third proportional to 289,998 and 638,860 is: 1,407,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,998 : 638,860 = 638,860 : x
  2. Step 2: Convert to fraction form
    289,998/638,860 = 638,860/x
  3. Step 3: Cross multiply
    289,998x = 638,860 × 638,860
  4. Step 4: Simplify right side
    289,998x = 408,142,099,600
  5. Step 5: Solve for x
    x = 408,142,099,600/289,998
  6. Step 6: Final answer
    x = 1,407,396.26

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Why These Related Problems?

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