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Finding the Third Proportional to 7,690 and 8,905

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Solution

The third proportional to 7,690 and 8,905 is: 10,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,690 : 8,905 = 8,905 : x
  2. Step 2: Convert to fraction form
    7,690/8,905 = 8,905/x
  3. Step 3: Cross multiply
    7,690x = 8,905 × 8,905
  4. Step 4: Simplify right side
    7,690x = 79,299,025
  5. Step 5: Solve for x
    x = 79,299,025/7,690
  6. Step 6: Final answer
    x = 10,311.97

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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.