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Finding the Third Proportional to 12,782 and 27,778

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Solution

The third proportional to 12,782 and 27,778 is: 60,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782 : 27,778 = 27,778 : x
  2. Step 2: Convert to fraction form
    12,782/27,778 = 27,778/x
  3. Step 3: Cross multiply
    12,782x = 27,778 × 27,778
  4. Step 4: Simplify right side
    12,782x = 771,617,284
  5. Step 5: Solve for x
    x = 771,617,284/12,782
  6. Step 6: Final answer
    x = 60,367.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.