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Finding the Third Proportional to 12,820 and 18,775

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Solution

The third proportional to 12,820 and 18,775 is: 27,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820 : 18,775 = 18,775 : x
  2. Step 2: Convert to fraction form
    12,820/18,775 = 18,775/x
  3. Step 3: Cross multiply
    12,820x = 18,775 × 18,775
  4. Step 4: Simplify right side
    12,820x = 352,500,625
  5. Step 5: Solve for x
    x = 352,500,625/12,820
  6. Step 6: Final answer
    x = 27,496.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.