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Finding the Third Proportional to 266,883.75 and 412,791.75

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Solution

The third proportional to 266,883.75 and 412,791.75 is: 638,469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,883.75 : 412,791.75 = 412,791.75 : x
  2. Step 2: Convert to fraction form
    266,883.75/412,791.75 = 412,791.75/x
  3. Step 3: Cross multiply
    266,883.75x = 412,791.75 × 412,791.75
  4. Step 4: Simplify right side
    266,883.75x = 170,397,028,868.06
  5. Step 5: Solve for x
    x = 170,397,028,868.06/266,883.75
  6. Step 6: Final answer
    x = 638,469.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.