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Finding the Third Proportional to 161,963 and 378,366

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Solution

The third proportional to 161,963 and 378,366 is: 883,910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,963 : 378,366 = 378,366 : x
  2. Step 2: Convert to fraction form
    161,963/378,366 = 378,366/x
  3. Step 3: Cross multiply
    161,963x = 378,366 × 378,366
  4. Step 4: Simplify right side
    161,963x = 143,160,829,956
  5. Step 5: Solve for x
    x = 143,160,829,956/161,963
  6. Step 6: Final answer
    x = 883,910.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.