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Finding the Third Proportional to 266,997 and 580,218

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Solution

The third proportional to 266,997 and 580,218 is: 1,260,886.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,997 : 580,218 = 580,218 : x
  2. Step 2: Convert to fraction form
    266,997/580,218 = 580,218/x
  3. Step 3: Cross multiply
    266,997x = 580,218 × 580,218
  4. Step 4: Simplify right side
    266,997x = 336,652,927,524
  5. Step 5: Solve for x
    x = 336,652,927,524/266,997
  6. Step 6: Final answer
    x = 1,260,886.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.