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Finding the Third Proportional to 77,406 and 158,091

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Solution

The third proportional to 77,406 and 158,091 is: 322,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,406 : 158,091 = 158,091 : x
  2. Step 2: Convert to fraction form
    77,406/158,091 = 158,091/x
  3. Step 3: Cross multiply
    77,406x = 158,091 × 158,091
  4. Step 4: Simplify right side
    77,406x = 24,992,764,281
  5. Step 5: Solve for x
    x = 24,992,764,281/77,406
  6. Step 6: Final answer
    x = 322,878.90

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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.