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Finding the Third Proportional to 31,329 and 66,151

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Solution

The third proportional to 31,329 and 66,151 is: 139,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,329 : 66,151 = 66,151 : x
  2. Step 2: Convert to fraction form
    31,329/66,151 = 66,151/x
  3. Step 3: Cross multiply
    31,329x = 66,151 × 66,151
  4. Step 4: Simplify right side
    31,329x = 4,375,954,801
  5. Step 5: Solve for x
    x = 4,375,954,801/31,329
  6. Step 6: Final answer
    x = 139,677.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.