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Finding the Third Proportional to 5,431 and 8,396

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Solution

The third proportional to 5,431 and 8,396 is: 12,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431 : 8,396 = 8,396 : x
  2. Step 2: Convert to fraction form
    5,431/8,396 = 8,396/x
  3. Step 3: Cross multiply
    5,431x = 8,396 × 8,396
  4. Step 4: Simplify right side
    5,431x = 70,492,816
  5. Step 5: Solve for x
    x = 70,492,816/5,431
  6. Step 6: Final answer
    x = 12,979.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.