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Finding the Third Proportional to 187,920 and 395,514

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Solution

The third proportional to 187,920 and 395,514 is: 832,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,920 : 395,514 = 395,514 : x
  2. Step 2: Convert to fraction form
    187,920/395,514 = 395,514/x
  3. Step 3: Cross multiply
    187,920x = 395,514 × 395,514
  4. Step 4: Simplify right side
    187,920x = 156,431,324,196
  5. Step 5: Solve for x
    x = 156,431,324,196/187,920
  6. Step 6: Final answer
    x = 832,435.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.