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Finding the Third Proportional to 77,787 and 158,859

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Solution

The third proportional to 77,787 and 158,859 is: 324,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,787 : 158,859 = 158,859 : x
  2. Step 2: Convert to fraction form
    77,787/158,859 = 158,859/x
  3. Step 3: Cross multiply
    77,787x = 158,859 × 158,859
  4. Step 4: Simplify right side
    77,787x = 25,236,181,881
  5. Step 5: Solve for x
    x = 25,236,181,881/77,787
  6. Step 6: Final answer
    x = 324,426.73

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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.