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Finding the Third Proportional to 77,634 and 158,121

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Solution

The third proportional to 77,634 and 158,121 is: 322,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,634 : 158,121 = 158,121 : x
  2. Step 2: Convert to fraction form
    77,634/158,121 = 158,121/x
  3. Step 3: Cross multiply
    77,634x = 158,121 × 158,121
  4. Step 4: Simplify right side
    77,634x = 25,002,250,641
  5. Step 5: Solve for x
    x = 25,002,250,641/77,634
  6. Step 6: Final answer
    x = 322,052.85

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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.