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Finding the Third Proportional to 379,840 and 819,856

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Solution

The third proportional to 379,840 and 819,856 is: 1,769,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,840 : 819,856 = 819,856 : x
  2. Step 2: Convert to fraction form
    379,840/819,856 = 819,856/x
  3. Step 3: Cross multiply
    379,840x = 819,856 × 819,856
  4. Step 4: Simplify right side
    379,840x = 672,163,860,736
  5. Step 5: Solve for x
    x = 672,163,860,736/379,840
  6. Step 6: Final answer
    x = 1,769,597.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.