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Finding the Third Proportional to 6,128 and 12,856

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Solution

The third proportional to 6,128 and 12,856 is: 26,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128 : 12,856 = 12,856 : x
  2. Step 2: Convert to fraction form
    6,128/12,856 = 12,856/x
  3. Step 3: Cross multiply
    6,128x = 12,856 × 12,856
  4. Step 4: Simplify right side
    6,128x = 165,276,736
  5. Step 5: Solve for x
    x = 165,276,736/6,128
  6. Step 6: Final answer
    x = 26,970.75

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