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Finding the Third Proportional to 18,768 and 39,969

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Solution

The third proportional to 18,768 and 39,969 is: 85,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,768 : 39,969 = 39,969 : x
  2. Step 2: Convert to fraction form
    18,768/39,969 = 39,969/x
  3. Step 3: Cross multiply
    18,768x = 39,969 × 39,969
  4. Step 4: Simplify right side
    18,768x = 1,597,520,961
  5. Step 5: Solve for x
    x = 1,597,520,961/18,768
  6. Step 6: Final answer
    x = 85,119.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.