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Finding the Third Proportional to 290,393 and 622,824

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Solution

The third proportional to 290,393 and 622,824 is: 1,335,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,393 : 622,824 = 622,824 : x
  2. Step 2: Convert to fraction form
    290,393/622,824 = 622,824/x
  3. Step 3: Cross multiply
    290,393x = 622,824 × 622,824
  4. Step 4: Simplify right side
    290,393x = 387,909,734,976
  5. Step 5: Solve for x
    x = 387,909,734,976/290,393
  6. Step 6: Final answer
    x = 1,335,809.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.