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Finding the Third Proportional to 85,086.75 and 178,881

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Solution

The third proportional to 85,086.75 and 178,881 is: 376,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,086.75 : 178,881 = 178,881 : x
  2. Step 2: Convert to fraction form
    85,086.75/178,881 = 178,881/x
  3. Step 3: Cross multiply
    85,086.75x = 178,881 × 178,881
  4. Step 4: Simplify right side
    85,086.75x = 31,998,412,161
  5. Step 5: Solve for x
    x = 31,998,412,161/85,086.75
  6. Step 6: Final answer
    x = 376,068.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.