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Finding the Third Proportional to 41,956 and 85,856

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Solution

The third proportional to 41,956 and 85,856 is: 175,690.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,956 : 85,856 = 85,856 : x
  2. Step 2: Convert to fraction form
    41,956/85,856 = 85,856/x
  3. Step 3: Cross multiply
    41,956x = 85,856 × 85,856
  4. Step 4: Simplify right side
    41,956x = 7,371,252,736
  5. Step 5: Solve for x
    x = 7,371,252,736/41,956
  6. Step 6: Final answer
    x = 175,690.07

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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.