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Finding the Third Proportional to 8,192 and 8,448

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Solution

The third proportional to 8,192 and 8,448 is: 8,712

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192 : 8,448 = 8,448 : x
  2. Step 2: Convert to fraction form
    8,192/8,448 = 8,448/x
  3. Step 3: Cross multiply
    8,192x = 8,448 × 8,448
  4. Step 4: Simplify right side
    8,192x = 71,368,704
  5. Step 5: Solve for x
    x = 71,368,704/8,192
  6. Step 6: Final answer
    x = 8,712

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.