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Finding the Third Proportional to 378,890 and 836,830

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Solution

The third proportional to 378,890 and 836,830 is: 1,848,252.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,890 : 836,830 = 836,830 : x
  2. Step 2: Convert to fraction form
    378,890/836,830 = 836,830/x
  3. Step 3: Cross multiply
    378,890x = 836,830 × 836,830
  4. Step 4: Simplify right side
    378,890x = 700,284,448,900
  5. Step 5: Solve for x
    x = 700,284,448,900/378,890
  6. Step 6: Final answer
    x = 1,848,252.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.