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Finding the Third Proportional to 78,869 and 161,424

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Solution

The third proportional to 78,869 and 161,424 is: 330,392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,869 : 161,424 = 161,424 : x
  2. Step 2: Convert to fraction form
    78,869/161,424 = 161,424/x
  3. Step 3: Cross multiply
    78,869x = 161,424 × 161,424
  4. Step 4: Simplify right side
    78,869x = 26,057,707,776
  5. Step 5: Solve for x
    x = 26,057,707,776/78,869
  6. Step 6: Final answer
    x = 330,392.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.