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Finding the Third Proportional to 417,922 and 636,675

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Solution

The third proportional to 417,922 and 636,675 is: 969,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,922 : 636,675 = 636,675 : x
  2. Step 2: Convert to fraction form
    417,922/636,675 = 636,675/x
  3. Step 3: Cross multiply
    417,922x = 636,675 × 636,675
  4. Step 4: Simplify right side
    417,922x = 405,355,055,625
  5. Step 5: Solve for x
    x = 405,355,055,625/417,922
  6. Step 6: Final answer
    x = 969,929.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.