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Finding the Third Proportional to 85,906 and 136,667

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Solution

The third proportional to 85,906 and 136,667 is: 217,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,906 : 136,667 = 136,667 : x
  2. Step 2: Convert to fraction form
    85,906/136,667 = 136,667/x
  3. Step 3: Cross multiply
    85,906x = 136,667 × 136,667
  4. Step 4: Simplify right side
    85,906x = 18,677,868,889
  5. Step 5: Solve for x
    x = 18,677,868,889/85,906
  6. Step 6: Final answer
    x = 217,422.17

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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.