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Finding the Third Proportional to 75,774 and 159,405

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Solution

The third proportional to 75,774 and 159,405 is: 335,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,774 : 159,405 = 159,405 : x
  2. Step 2: Convert to fraction form
    75,774/159,405 = 159,405/x
  3. Step 3: Cross multiply
    75,774x = 159,405 × 159,405
  4. Step 4: Simplify right side
    75,774x = 25,409,954,025
  5. Step 5: Solve for x
    x = 25,409,954,025/75,774
  6. Step 6: Final answer
    x = 335,338.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.