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Finding the Third Proportional to 289,652 and 622,892

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Solution

The third proportional to 289,652 and 622,892 is: 1,339,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,652 : 622,892 = 622,892 : x
  2. Step 2: Convert to fraction form
    289,652/622,892 = 622,892/x
  3. Step 3: Cross multiply
    289,652x = 622,892 × 622,892
  4. Step 4: Simplify right side
    289,652x = 387,994,443,664
  5. Step 5: Solve for x
    x = 387,994,443,664/289,652
  6. Step 6: Final answer
    x = 1,339,519.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.