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Finding the Third Proportional to 31,371 and 66,995

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Solution

The third proportional to 31,371 and 66,995 is: 143,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,371 : 66,995 = 66,995 : x
  2. Step 2: Convert to fraction form
    31,371/66,995 = 66,995/x
  3. Step 3: Cross multiply
    31,371x = 66,995 × 66,995
  4. Step 4: Simplify right side
    31,371x = 4,488,330,025
  5. Step 5: Solve for x
    x = 4,488,330,025/31,371
  6. Step 6: Final answer
    x = 143,072.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.