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Finding the Third Proportional to 86,869 and 137,663

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Solution

The third proportional to 86,869 and 137,663 is: 218,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,869 : 137,663 = 137,663 : x
  2. Step 2: Convert to fraction form
    86,869/137,663 = 137,663/x
  3. Step 3: Cross multiply
    86,869x = 137,663 × 137,663
  4. Step 4: Simplify right side
    86,869x = 18,951,101,569
  5. Step 5: Solve for x
    x = 18,951,101,569/86,869
  6. Step 6: Final answer
    x = 218,157.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.