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Finding the Third Proportional to 8,920 and 12,920

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Solution

The third proportional to 8,920 and 12,920 is: 18,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920 : 12,920 = 12,920 : x
  2. Step 2: Convert to fraction form
    8,920/12,920 = 12,920/x
  3. Step 3: Cross multiply
    8,920x = 12,920 × 12,920
  4. Step 4: Simplify right side
    8,920x = 166,926,400
  5. Step 5: Solve for x
    x = 166,926,400/8,920
  6. Step 6: Final answer
    x = 18,713.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.