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Finding the Third Proportional to 378,774 and 836,280

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Solution

The third proportional to 378,774 and 836,280 is: 1,846,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,774 : 836,280 = 836,280 : x
  2. Step 2: Convert to fraction form
    378,774/836,280 = 836,280/x
  3. Step 3: Cross multiply
    378,774x = 836,280 × 836,280
  4. Step 4: Simplify right side
    378,774x = 699,364,238,400
  5. Step 5: Solve for x
    x = 699,364,238,400/378,774
  6. Step 6: Final answer
    x = 1,846,389.24

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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.