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Finding the Third Proportional to 161,869 and 239,663

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Solution

The third proportional to 161,869 and 239,663 is: 354,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,869 : 239,663 = 239,663 : x
  2. Step 2: Convert to fraction form
    161,869/239,663 = 239,663/x
  3. Step 3: Cross multiply
    161,869x = 239,663 × 239,663
  4. Step 4: Simplify right side
    161,869x = 57,438,353,569
  5. Step 5: Solve for x
    x = 57,438,353,569/161,869
  6. Step 6: Final answer
    x = 354,844.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.