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Finding the Third Proportional to 12,778 and 27,922

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Solution

The third proportional to 12,778 and 27,922 is: 61,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778 : 27,922 = 27,922 : x
  2. Step 2: Convert to fraction form
    12,778/27,922 = 27,922/x
  3. Step 3: Cross multiply
    12,778x = 27,922 × 27,922
  4. Step 4: Simplify right side
    12,778x = 779,638,084
  5. Step 5: Solve for x
    x = 779,638,084/12,778
  6. Step 6: Final answer
    x = 61,014.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.