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Finding the Third Proportional to 159,123 and 351,366

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Solution

The third proportional to 159,123 and 351,366 is: 775,865.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,123 : 351,366 = 351,366 : x
  2. Step 2: Convert to fraction form
    159,123/351,366 = 351,366/x
  3. Step 3: Cross multiply
    159,123x = 351,366 × 351,366
  4. Step 4: Simplify right side
    159,123x = 123,458,065,956
  5. Step 5: Solve for x
    x = 123,458,065,956/159,123
  6. Step 6: Final answer
    x = 775,865.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.