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Finding the Third Proportional to 31,172 and 66,723

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Solution

The third proportional to 31,172 and 66,723 is: 142,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,172 : 66,723 = 66,723 : x
  2. Step 2: Convert to fraction form
    31,172/66,723 = 66,723/x
  3. Step 3: Cross multiply
    31,172x = 66,723 × 66,723
  4. Step 4: Simplify right side
    31,172x = 4,451,958,729
  5. Step 5: Solve for x
    x = 4,451,958,729/31,172
  6. Step 6: Final answer
    x = 142,819.16

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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.