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Finding the Third Proportional to 258,633 and 378,099

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Solution

The third proportional to 258,633 and 378,099 is: 552,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,633 : 378,099 = 378,099 : x
  2. Step 2: Convert to fraction form
    258,633/378,099 = 378,099/x
  3. Step 3: Cross multiply
    258,633x = 378,099 × 378,099
  4. Step 4: Simplify right side
    258,633x = 142,958,853,801
  5. Step 5: Solve for x
    x = 142,958,853,801/258,633
  6. Step 6: Final answer
    x = 552,747.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.