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Finding the Third Proportional to 292,107 and 636,822

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Solution

The third proportional to 292,107 and 636,822 is: 1,388,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,107 : 636,822 = 636,822 : x
  2. Step 2: Convert to fraction form
    292,107/636,822 = 636,822/x
  3. Step 3: Cross multiply
    292,107x = 636,822 × 636,822
  4. Step 4: Simplify right side
    292,107x = 405,542,259,684
  5. Step 5: Solve for x
    x = 405,542,259,684/292,107
  6. Step 6: Final answer
    x = 1,388,334.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.