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Finding the Third Proportional to 31,034 and 66,443

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Solution

The third proportional to 31,034 and 66,443 is: 142,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034 : 66,443 = 66,443 : x
  2. Step 2: Convert to fraction form
    31,034/66,443 = 66,443/x
  3. Step 3: Cross multiply
    31,034x = 66,443 × 66,443
  4. Step 4: Simplify right side
    31,034x = 4,414,672,249
  5. Step 5: Solve for x
    x = 4,414,672,249/31,034
  6. Step 6: Final answer
    x = 142,252.76

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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.