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Finding the Third Proportional to 290,744 and 636,784

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Solution

The third proportional to 290,744 and 636,784 is: 1,394,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,744 : 636,784 = 636,784 : x
  2. Step 2: Convert to fraction form
    290,744/636,784 = 636,784/x
  3. Step 3: Cross multiply
    290,744x = 636,784 × 636,784
  4. Step 4: Simplify right side
    290,744x = 405,493,862,656
  5. Step 5: Solve for x
    x = 405,493,862,656/290,744
  6. Step 6: Final answer
    x = 1,394,676.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.