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Finding the Third Proportional to 57,118 and 87,856

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Solution

The third proportional to 57,118 and 87,856 is: 135,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,118 : 87,856 = 87,856 : x
  2. Step 2: Convert to fraction form
    57,118/87,856 = 87,856/x
  3. Step 3: Cross multiply
    57,118x = 87,856 × 87,856
  4. Step 4: Simplify right side
    57,118x = 7,718,676,736
  5. Step 5: Solve for x
    x = 7,718,676,736/57,118
  6. Step 6: Final answer
    x = 135,135.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.