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Finding the Third Proportional to 415,215.75 and 622,824

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Solution

The third proportional to 415,215.75 and 622,824 is: 934,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,215.75 : 622,824 = 622,824 : x
  2. Step 2: Convert to fraction form
    415,215.75/622,824 = 622,824/x
  3. Step 3: Cross multiply
    415,215.75x = 622,824 × 622,824
  4. Step 4: Simplify right side
    415,215.75x = 387,909,734,976
  5. Step 5: Solve for x
    x = 387,909,734,976/415,215.75
  6. Step 6: Final answer
    x = 934,236.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.