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Finding the Third Proportional to 5,039 and 7,777

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Solution

The third proportional to 5,039 and 7,777 is: 12,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,039 : 7,777 = 7,777 : x
  2. Step 2: Convert to fraction form
    5,039/7,777 = 7,777/x
  3. Step 3: Cross multiply
    5,039x = 7,777 × 7,777
  4. Step 4: Simplify right side
    5,039x = 60,481,729
  5. Step 5: Solve for x
    x = 60,481,729/5,039
  6. Step 6: Final answer
    x = 12,002.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.