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Finding the Third Proportional to 378,381 and 814,164

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Solution

The third proportional to 378,381 and 814,164 is: 1,751,840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,381 : 814,164 = 814,164 : x
  2. Step 2: Convert to fraction form
    378,381/814,164 = 814,164/x
  3. Step 3: Cross multiply
    378,381x = 814,164 × 814,164
  4. Step 4: Simplify right side
    378,381x = 662,863,018,896
  5. Step 5: Solve for x
    x = 662,863,018,896/378,381
  6. Step 6: Final answer
    x = 1,751,840.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.