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Finding the Third Proportional to 161,018 and 378,869

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Solution

The third proportional to 161,018 and 378,869 is: 891,463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,018 : 378,869 = 378,869 : x
  2. Step 2: Convert to fraction form
    161,018/378,869 = 378,869/x
  3. Step 3: Cross multiply
    161,018x = 378,869 × 378,869
  4. Step 4: Simplify right side
    161,018x = 143,541,719,161
  5. Step 5: Solve for x
    x = 143,541,719,161/161,018
  6. Step 6: Final answer
    x = 891,463.81

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.