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Finding the Third Proportional to 423,936 and 636,813

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Solution

The third proportional to 423,936 and 636,813 is: 956,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,936 : 636,813 = 636,813 : x
  2. Step 2: Convert to fraction form
    423,936/636,813 = 636,813/x
  3. Step 3: Cross multiply
    423,936x = 636,813 × 636,813
  4. Step 4: Simplify right side
    423,936x = 405,530,796,969
  5. Step 5: Solve for x
    x = 405,530,796,969/423,936
  6. Step 6: Final answer
    x = 956,584.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.