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Finding the Third Proportional to 290,373 and 636,834

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Solution

The third proportional to 290,373 and 636,834 is: 1,396,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,373 : 636,834 = 636,834 : x
  2. Step 2: Convert to fraction form
    290,373/636,834 = 636,834/x
  3. Step 3: Cross multiply
    290,373x = 636,834 × 636,834
  4. Step 4: Simplify right side
    290,373x = 405,557,543,556
  5. Step 5: Solve for x
    x = 405,557,543,556/290,373
  6. Step 6: Final answer
    x = 1,396,677.87

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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.