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Finding the Third Proportional to 151,968 and 331,908

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Solution

The third proportional to 151,968 and 331,908 is: 724,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,968 : 331,908 = 331,908 : x
  2. Step 2: Convert to fraction form
    151,968/331,908 = 331,908/x
  3. Step 3: Cross multiply
    151,968x = 331,908 × 331,908
  4. Step 4: Simplify right side
    151,968x = 110,162,920,464
  5. Step 5: Solve for x
    x = 110,162,920,464/151,968
  6. Step 6: Final answer
    x = 724,908.67

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Why These Related Problems?

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