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Finding the Third Proportional to 27,818 and 61,856

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Solution

The third proportional to 27,818 and 61,856 is: 137,542.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818 : 61,856 = 61,856 : x
  2. Step 2: Convert to fraction form
    27,818/61,856 = 61,856/x
  3. Step 3: Cross multiply
    27,818x = 61,856 × 61,856
  4. Step 4: Simplify right side
    27,818x = 3,826,164,736
  5. Step 5: Solve for x
    x = 3,826,164,736/27,818
  6. Step 6: Final answer
    x = 137,542.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.