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Finding the Third Proportional to 266,907 and 580,278

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Solution

The third proportional to 266,907 and 580,278 is: 1,261,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,907 : 580,278 = 580,278 : x
  2. Step 2: Convert to fraction form
    266,907/580,278 = 580,278/x
  3. Step 3: Cross multiply
    266,907x = 580,278 × 580,278
  4. Step 4: Simplify right side
    266,907x = 336,722,557,284
  5. Step 5: Solve for x
    x = 336,722,557,284/266,907
  6. Step 6: Final answer
    x = 1,261,572.60

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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.