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Finding the Third Proportional to 31,512.75 and 67,805.25

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Solution

The third proportional to 31,512.75 and 67,805.25 is: 145,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,512.75 : 67,805.25 = 67,805.25 : x
  2. Step 2: Convert to fraction form
    31,512.75/67,805.25 = 67,805.25/x
  3. Step 3: Cross multiply
    31,512.75x = 67,805.25 × 67,805.25
  4. Step 4: Simplify right side
    31,512.75x = 4,597,551,927.56
  5. Step 5: Solve for x
    x = 4,597,551,927.56/31,512.75
  6. Step 6: Final answer
    x = 145,894.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.