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Finding the Third Proportional to 8,420 and 12,467

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Solution

The third proportional to 8,420 and 12,467 is: 18,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420 : 12,467 = 12,467 : x
  2. Step 2: Convert to fraction form
    8,420/12,467 = 12,467/x
  3. Step 3: Cross multiply
    8,420x = 12,467 × 12,467
  4. Step 4: Simplify right side
    8,420x = 155,426,089
  5. Step 5: Solve for x
    x = 155,426,089/8,420
  6. Step 6: Final answer
    x = 18,459.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.