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Finding the Third Proportional to 6,680 and 7,768

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Solution

The third proportional to 6,680 and 7,768 is: 9,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680 : 7,768 = 7,768 : x
  2. Step 2: Convert to fraction form
    6,680/7,768 = 7,768/x
  3. Step 3: Cross multiply
    6,680x = 7,768 × 7,768
  4. Step 4: Simplify right side
    6,680x = 60,341,824
  5. Step 5: Solve for x
    x = 60,341,824/6,680
  6. Step 6: Final answer
    x = 9,033.21

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.