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Finding the Third Proportional to 289,996 and 638,856

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Solution

The third proportional to 289,996 and 638,856 is: 1,407,388.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,996 : 638,856 = 638,856 : x
  2. Step 2: Convert to fraction form
    289,996/638,856 = 638,856/x
  3. Step 3: Cross multiply
    289,996x = 638,856 × 638,856
  4. Step 4: Simplify right side
    289,996x = 408,136,988,736
  5. Step 5: Solve for x
    x = 408,136,988,736/289,996
  6. Step 6: Final answer
    x = 1,407,388.34

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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.