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Finding the Third Proportional to 289,980 and 638,824

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Solution

The third proportional to 289,980 and 638,824 is: 1,407,325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,980 : 638,824 = 638,824 : x
  2. Step 2: Convert to fraction form
    289,980/638,824 = 638,824/x
  3. Step 3: Cross multiply
    289,980x = 638,824 × 638,824
  4. Step 4: Simplify right side
    289,980x = 408,096,102,976
  5. Step 5: Solve for x
    x = 408,096,102,976/289,980
  6. Step 6: Final answer
    x = 1,407,325.00

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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.