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Finding the Third Proportional to 417,831 and 636,539

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Solution

The third proportional to 417,831 and 636,539 is: 969,726.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,831 : 636,539 = 636,539 : x
  2. Step 2: Convert to fraction form
    417,831/636,539 = 636,539/x
  3. Step 3: Cross multiply
    417,831x = 636,539 × 636,539
  4. Step 4: Simplify right side
    417,831x = 405,181,898,521
  5. Step 5: Solve for x
    x = 405,181,898,521/417,831
  6. Step 6: Final answer
    x = 969,726.75

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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.