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Finding the Third Proportional to 8,720 and 13,496

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Solution

The third proportional to 8,720 and 13,496 is: 20,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720 : 13,496 = 13,496 : x
  2. Step 2: Convert to fraction form
    8,720/13,496 = 13,496/x
  3. Step 3: Cross multiply
    8,720x = 13,496 × 13,496
  4. Step 4: Simplify right side
    8,720x = 182,142,016
  5. Step 5: Solve for x
    x = 182,142,016/8,720
  6. Step 6: Final answer
    x = 20,887.85

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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.