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Finding the Third Proportional to 8,642 and 12,920

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Solution

The third proportional to 8,642 and 12,920 is: 19,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642 : 12,920 = 12,920 : x
  2. Step 2: Convert to fraction form
    8,642/12,920 = 12,920/x
  3. Step 3: Cross multiply
    8,642x = 12,920 × 12,920
  4. Step 4: Simplify right side
    8,642x = 166,926,400
  5. Step 5: Solve for x
    x = 166,926,400/8,642
  6. Step 6: Final answer
    x = 19,315.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.