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Finding the Third Proportional to 148,968 and 331,036

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Solution

The third proportional to 148,968 and 331,036 is: 735,626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,968 : 331,036 = 331,036 : x
  2. Step 2: Convert to fraction form
    148,968/331,036 = 331,036/x
  3. Step 3: Cross multiply
    148,968x = 331,036 × 331,036
  4. Step 4: Simplify right side
    148,968x = 109,584,833,296
  5. Step 5: Solve for x
    x = 109,584,833,296/148,968
  6. Step 6: Final answer
    x = 735,626.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.