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Finding the Third Proportional to 31,549 and 66,019

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Solution

The third proportional to 31,549 and 66,019 is: 138,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549 : 66,019 = 66,019 : x
  2. Step 2: Convert to fraction form
    31,549/66,019 = 66,019/x
  3. Step 3: Cross multiply
    31,549x = 66,019 × 66,019
  4. Step 4: Simplify right side
    31,549x = 4,358,508,361
  5. Step 5: Solve for x
    x = 4,358,508,361/31,549
  6. Step 6: Final answer
    x = 138,150.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.