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Finding the Third Proportional to 27,478 and 56,138

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Solution

The third proportional to 27,478 and 56,138 is: 114,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478 : 56,138 = 56,138 : x
  2. Step 2: Convert to fraction form
    27,478/56,138 = 56,138/x
  3. Step 3: Cross multiply
    27,478x = 56,138 × 56,138
  4. Step 4: Simplify right side
    27,478x = 3,151,475,044
  5. Step 5: Solve for x
    x = 3,151,475,044/27,478
  6. Step 6: Final answer
    x = 114,690.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.