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Finding the Third Proportional to 3,776 and 7,750

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Solution

The third proportional to 3,776 and 7,750 is: 15,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776 : 7,750 = 7,750 : x
  2. Step 2: Convert to fraction form
    3,776/7,750 = 7,750/x
  3. Step 3: Cross multiply
    3,776x = 7,750 × 7,750
  4. Step 4: Simplify right side
    3,776x = 60,062,500
  5. Step 5: Solve for x
    x = 60,062,500/3,776
  6. Step 6: Final answer
    x = 15,906.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.