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Finding the Third Proportional to 417,788 and 636,474

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Solution

The third proportional to 417,788 and 636,474 is: 969,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,788 : 636,474 = 636,474 : x
  2. Step 2: Convert to fraction form
    417,788/636,474 = 636,474/x
  3. Step 3: Cross multiply
    417,788x = 636,474 × 636,474
  4. Step 4: Simplify right side
    417,788x = 405,099,152,676
  5. Step 5: Solve for x
    x = 405,099,152,676/417,788
  6. Step 6: Final answer
    x = 969,628.50

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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.