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Finding the Third Proportional to 290,493 and 622,458

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Solution

The third proportional to 290,493 and 622,458 is: 1,333,780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,493 : 622,458 = 622,458 : x
  2. Step 2: Convert to fraction form
    290,493/622,458 = 622,458/x
  3. Step 3: Cross multiply
    290,493x = 622,458 × 622,458
  4. Step 4: Simplify right side
    290,493x = 387,453,961,764
  5. Step 5: Solve for x
    x = 387,453,961,764/290,493
  6. Step 6: Final answer
    x = 1,333,780.72

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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.