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Finding the Third Proportional to 86,829 and 178,266

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Solution

The third proportional to 86,829 and 178,266 is: 365,992.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,829 : 178,266 = 178,266 : x
  2. Step 2: Convert to fraction form
    86,829/178,266 = 178,266/x
  3. Step 3: Cross multiply
    86,829x = 178,266 × 178,266
  4. Step 4: Simplify right side
    86,829x = 31,778,766,756
  5. Step 5: Solve for x
    x = 31,778,766,756/86,829
  6. Step 6: Final answer
    x = 365,992.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.