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Finding the Third Proportional to 26,840 and 56,128

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Solution

The third proportional to 26,840 and 56,128 is: 117,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,840 : 56,128 = 56,128 : x
  2. Step 2: Convert to fraction form
    26,840/56,128 = 56,128/x
  3. Step 3: Cross multiply
    26,840x = 56,128 × 56,128
  4. Step 4: Simplify right side
    26,840x = 3,150,352,384
  5. Step 5: Solve for x
    x = 3,150,352,384/26,840
  6. Step 6: Final answer
    x = 117,375.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.