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Finding the Third Proportional to 31,885 and 66,073

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Solution

The third proportional to 31,885 and 66,073 is: 136,918.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,885 : 66,073 = 66,073 : x
  2. Step 2: Convert to fraction form
    31,885/66,073 = 66,073/x
  3. Step 3: Cross multiply
    31,885x = 66,073 × 66,073
  4. Step 4: Simplify right side
    31,885x = 4,365,641,329
  5. Step 5: Solve for x
    x = 4,365,641,329/31,885
  6. Step 6: Final answer
    x = 136,918.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.