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Finding the Third Proportional to 3,919 and 7,289

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Solution

The third proportional to 3,919 and 7,289 is: 13,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919 : 7,289 = 7,289 : x
  2. Step 2: Convert to fraction form
    3,919/7,289 = 7,289/x
  3. Step 3: Cross multiply
    3,919x = 7,289 × 7,289
  4. Step 4: Simplify right side
    3,919x = 53,129,521
  5. Step 5: Solve for x
    x = 53,129,521/3,919
  6. Step 6: Final answer
    x = 13,556.91

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.