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Finding the Third Proportional to 379,717 and 808,514

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Solution

The third proportional to 379,717 and 808,514 is: 1,721,531.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,717 : 808,514 = 808,514 : x
  2. Step 2: Convert to fraction form
    379,717/808,514 = 808,514/x
  3. Step 3: Cross multiply
    379,717x = 808,514 × 808,514
  4. Step 4: Simplify right side
    379,717x = 653,694,888,196
  5. Step 5: Solve for x
    x = 653,694,888,196/379,717
  6. Step 6: Final answer
    x = 1,721,531.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.