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Finding the Third Proportional to 31,770.67 and 68,771.64

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Solution

The third proportional to 31,770.67 and 68,771.64 is: 148,864.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770.67 : 68,771.64 = 68,771.64 : x
  2. Step 2: Convert to fraction form
    31,770.67/68,771.64 = 68,771.64/x
  3. Step 3: Cross multiply
    31,770.67x = 68,771.64 × 68,771.64
  4. Step 4: Simplify right side
    31,770.67x = 4,729,538,016.98
  5. Step 5: Solve for x
    x = 4,729,538,016.98/31,770.67
  6. Step 6: Final answer
    x = 148,864.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.