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Finding the Third Proportional to 77,793 and 158,871

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Solution

The third proportional to 77,793 and 158,871 is: 324,450.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,793 : 158,871 = 158,871 : x
  2. Step 2: Convert to fraction form
    77,793/158,871 = 158,871/x
  3. Step 3: Cross multiply
    77,793x = 158,871 × 158,871
  4. Step 4: Simplify right side
    77,793x = 25,239,994,641
  5. Step 5: Solve for x
    x = 25,239,994,641/77,793
  6. Step 6: Final answer
    x = 324,450.72

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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.