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Finding the Third Proportional to 12,778 and 19,939

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Solution

The third proportional to 12,778 and 19,939 is: 31,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778 : 19,939 = 19,939 : x
  2. Step 2: Convert to fraction form
    12,778/19,939 = 19,939/x
  3. Step 3: Cross multiply
    12,778x = 19,939 × 19,939
  4. Step 4: Simplify right side
    12,778x = 397,563,721
  5. Step 5: Solve for x
    x = 397,563,721/12,778
  6. Step 6: Final answer
    x = 31,113.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.