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Finding the Third Proportional to 7,777 and 11,705

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Solution

The third proportional to 7,777 and 11,705 is: 17,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777 : 11,705 = 11,705 : x
  2. Step 2: Convert to fraction form
    7,777/11,705 = 11,705/x
  3. Step 3: Cross multiply
    7,777x = 11,705 × 11,705
  4. Step 4: Simplify right side
    7,777x = 137,007,025
  5. Step 5: Solve for x
    x = 137,007,025/7,777
  6. Step 6: Final answer
    x = 17,616.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.