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Finding the Third Proportional to 7,678 and 8,758

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Solution

The third proportional to 7,678 and 8,758 is: 9,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678 : 8,758 = 8,758 : x
  2. Step 2: Convert to fraction form
    7,678/8,758 = 8,758/x
  3. Step 3: Cross multiply
    7,678x = 8,758 × 8,758
  4. Step 4: Simplify right side
    7,678x = 76,702,564
  5. Step 5: Solve for x
    x = 76,702,564/7,678
  6. Step 6: Final answer
    x = 9,989.91

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.