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Finding the Third Proportional to 86,016 and 136,960

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Solution

The third proportional to 86,016 and 136,960 is: 218,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,016 : 136,960 = 136,960 : x
  2. Step 2: Convert to fraction form
    86,016/136,960 = 136,960/x
  3. Step 3: Cross multiply
    86,016x = 136,960 × 136,960
  4. Step 4: Simplify right side
    86,016x = 18,758,041,600
  5. Step 5: Solve for x
    x = 18,758,041,600/86,016
  6. Step 6: Final answer
    x = 218,076.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.