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Finding the Third Proportional to 8,192 and 8,930

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Solution

The third proportional to 8,192 and 8,930 is: 9,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192 : 8,930 = 8,930 : x
  2. Step 2: Convert to fraction form
    8,192/8,930 = 8,930/x
  3. Step 3: Cross multiply
    8,192x = 8,930 × 8,930
  4. Step 4: Simplify right side
    8,192x = 79,744,900
  5. Step 5: Solve for x
    x = 79,744,900/8,192
  6. Step 6: Final answer
    x = 9,734.48

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1.5x scale

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.