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Finding the Third Proportional to 56,238 and 122,856

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Solution

The third proportional to 56,238 and 122,856 is: 268,387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,238 : 122,856 = 122,856 : x
  2. Step 2: Convert to fraction form
    56,238/122,856 = 122,856/x
  3. Step 3: Cross multiply
    56,238x = 122,856 × 122,856
  4. Step 4: Simplify right side
    56,238x = 15,093,596,736
  5. Step 5: Solve for x
    x = 15,093,596,736/56,238
  6. Step 6: Final answer
    x = 268,387.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.