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Finding the Third Proportional to 77,791 and 158,867

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Solution

The third proportional to 77,791 and 158,867 is: 324,442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,791 : 158,867 = 158,867 : x
  2. Step 2: Convert to fraction form
    77,791/158,867 = 158,867/x
  3. Step 3: Cross multiply
    77,791x = 158,867 × 158,867
  4. Step 4: Simplify right side
    77,791x = 25,238,723,689
  5. Step 5: Solve for x
    x = 25,238,723,689/77,791
  6. Step 6: Final answer
    x = 324,442.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.