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Finding the Third Proportional to 161,869 and 378,073

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Solution

The third proportional to 161,869 and 378,073 is: 883,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,869 : 378,073 = 378,073 : x
  2. Step 2: Convert to fraction form
    161,869/378,073 = 378,073/x
  3. Step 3: Cross multiply
    161,869x = 378,073 × 378,073
  4. Step 4: Simplify right side
    161,869x = 142,939,193,329
  5. Step 5: Solve for x
    x = 142,939,193,329/161,869
  6. Step 6: Final answer
    x = 883,054.77

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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.