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Finding the Third Proportional to 290,824 and 437,694

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Solution

The third proportional to 290,824 and 437,694 is: 658,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,824 : 437,694 = 437,694 : x
  2. Step 2: Convert to fraction form
    290,824/437,694 = 437,694/x
  3. Step 3: Cross multiply
    290,824x = 437,694 × 437,694
  4. Step 4: Simplify right side
    290,824x = 191,576,037,636
  5. Step 5: Solve for x
    x = 191,576,037,636/290,824
  6. Step 6: Final answer
    x = 658,735.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.