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Finding the Third Proportional to 20,565 and 49,245

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Solution

The third proportional to 20,565 and 49,245 is: 117,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565 : 49,245 = 49,245 : x
  2. Step 2: Convert to fraction form
    20,565/49,245 = 49,245/x
  3. Step 3: Cross multiply
    20,565x = 49,245 × 49,245
  4. Step 4: Simplify right side
    20,565x = 2,425,070,025
  5. Step 5: Solve for x
    x = 2,425,070,025/20,565
  6. Step 6: Final answer
    x = 117,922.20

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.