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Finding the Third Proportional to 8,242 and 12,781

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Solution

The third proportional to 8,242 and 12,781 is: 19,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242 : 12,781 = 12,781 : x
  2. Step 2: Convert to fraction form
    8,242/12,781 = 12,781/x
  3. Step 3: Cross multiply
    8,242x = 12,781 × 12,781
  4. Step 4: Simplify right side
    8,242x = 163,353,961
  5. Step 5: Solve for x
    x = 163,353,961/8,242
  6. Step 6: Final answer
    x = 19,819.70

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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.