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Finding the Third Proportional to 31,750 and 69,144

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Solution

The third proportional to 31,750 and 69,144 is: 150,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,750 : 69,144 = 69,144 : x
  2. Step 2: Convert to fraction form
    31,750/69,144 = 69,144/x
  3. Step 3: Cross multiply
    31,750x = 69,144 × 69,144
  4. Step 4: Simplify right side
    31,750x = 4,780,892,736
  5. Step 5: Solve for x
    x = 4,780,892,736/31,750
  6. Step 6: Final answer
    x = 150,579.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.