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Finding the Third Proportional to 12,842 and 18,820

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Solution

The third proportional to 12,842 and 18,820 is: 27,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842 : 18,820 = 18,820 : x
  2. Step 2: Convert to fraction form
    12,842/18,820 = 18,820/x
  3. Step 3: Cross multiply
    12,842x = 18,820 × 18,820
  4. Step 4: Simplify right side
    12,842x = 354,192,400
  5. Step 5: Solve for x
    x = 354,192,400/12,842
  6. Step 6: Final answer
    x = 27,580.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.