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Finding the Third Proportional to 31,764 and 68,968

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Solution

The third proportional to 31,764 and 68,968 is: 149,747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,764 : 68,968 = 68,968 : x
  2. Step 2: Convert to fraction form
    31,764/68,968 = 68,968/x
  3. Step 3: Cross multiply
    31,764x = 68,968 × 68,968
  4. Step 4: Simplify right side
    31,764x = 4,756,585,024
  5. Step 5: Solve for x
    x = 4,756,585,024/31,764
  6. Step 6: Final answer
    x = 149,747.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.