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Finding the Third Proportional to 258,514 and 386,227

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Solution

The third proportional to 258,514 and 386,227 is: 577,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,514 : 386,227 = 386,227 : x
  2. Step 2: Convert to fraction form
    258,514/386,227 = 386,227/x
  3. Step 3: Cross multiply
    258,514x = 386,227 × 386,227
  4. Step 4: Simplify right side
    258,514x = 149,171,295,529
  5. Step 5: Solve for x
    x = 149,171,295,529/258,514
  6. Step 6: Final answer
    x = 577,033.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.