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Finding the Third Proportional to 12,245 and 18,343

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Solution

The third proportional to 12,245 and 18,343 is: 27,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245 : 18,343 = 18,343 : x
  2. Step 2: Convert to fraction form
    12,245/18,343 = 18,343/x
  3. Step 3: Cross multiply
    12,245x = 18,343 × 18,343
  4. Step 4: Simplify right side
    12,245x = 336,465,649
  5. Step 5: Solve for x
    x = 336,465,649/12,245
  6. Step 6: Final answer
    x = 27,477.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.