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Finding the Third Proportional to 7,638 and 8,358

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Solution

The third proportional to 7,638 and 8,358 is: 9,145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638 : 8,358 = 8,358 : x
  2. Step 2: Convert to fraction form
    7,638/8,358 = 8,358/x
  3. Step 3: Cross multiply
    7,638x = 8,358 × 8,358
  4. Step 4: Simplify right side
    7,638x = 69,856,164
  5. Step 5: Solve for x
    x = 69,856,164/7,638
  6. Step 6: Final answer
    x = 9,145.87

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.