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Finding the Third Proportional to 5,378 and 8,031

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Solution

The third proportional to 5,378 and 8,031 is: 11,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378 : 8,031 = 8,031 : x
  2. Step 2: Convert to fraction form
    5,378/8,031 = 8,031/x
  3. Step 3: Cross multiply
    5,378x = 8,031 × 8,031
  4. Step 4: Simplify right side
    5,378x = 64,496,961
  5. Step 5: Solve for x
    x = 64,496,961/5,378
  6. Step 6: Final answer
    x = 11,992.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.