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Finding the Third Proportional to 4,961 and 7,687

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Solution

The third proportional to 4,961 and 7,687 is: 11,910.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961 : 7,687 = 7,687 : x
  2. Step 2: Convert to fraction form
    4,961/7,687 = 7,687/x
  3. Step 3: Cross multiply
    4,961x = 7,687 × 7,687
  4. Step 4: Simplify right side
    4,961x = 59,089,969
  5. Step 5: Solve for x
    x = 59,089,969/4,961
  6. Step 6: Final answer
    x = 11,910.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.