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Finding the Third Proportional to 8,430 and 12,849

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Solution

The third proportional to 8,430 and 12,849 is: 19,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430 : 12,849 = 12,849 : x
  2. Step 2: Convert to fraction form
    8,430/12,849 = 12,849/x
  3. Step 3: Cross multiply
    8,430x = 12,849 × 12,849
  4. Step 4: Simplify right side
    8,430x = 165,096,801
  5. Step 5: Solve for x
    x = 165,096,801/8,430
  6. Step 6: Final answer
    x = 19,584.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.