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Finding the Third Proportional to 18,693 and 39,807

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Solution

The third proportional to 18,693 and 39,807 is: 84,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,693 : 39,807 = 39,807 : x
  2. Step 2: Convert to fraction form
    18,693/39,807 = 39,807/x
  3. Step 3: Cross multiply
    18,693x = 39,807 × 39,807
  4. Step 4: Simplify right side
    18,693x = 1,584,597,249
  5. Step 5: Solve for x
    x = 1,584,597,249/18,693
  6. Step 6: Final answer
    x = 84,769.55

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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.