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Finding the Third Proportional to 389,380 and 844,856

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Solution

The third proportional to 389,380 and 844,856 is: 1,833,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,380 : 844,856 = 844,856 : x
  2. Step 2: Convert to fraction form
    389,380/844,856 = 844,856/x
  3. Step 3: Cross multiply
    389,380x = 844,856 × 844,856
  4. Step 4: Simplify right side
    389,380x = 713,781,660,736
  5. Step 5: Solve for x
    x = 713,781,660,736/389,380
  6. Step 6: Final answer
    x = 1,833,123.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.