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Finding the Third Proportional to 436,021 and 636,775

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Solution

The third proportional to 436,021 and 636,775 is: 929,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,021 : 636,775 = 636,775 : x
  2. Step 2: Convert to fraction form
    436,021/636,775 = 636,775/x
  3. Step 3: Cross multiply
    436,021x = 636,775 × 636,775
  4. Step 4: Simplify right side
    436,021x = 405,482,400,625
  5. Step 5: Solve for x
    x = 405,482,400,625/436,021
  6. Step 6: Final answer
    x = 929,960.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.