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Finding the Third Proportional to 18,727 and 39,763

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Solution

The third proportional to 18,727 and 39,763 is: 84,428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,727 : 39,763 = 39,763 : x
  2. Step 2: Convert to fraction form
    18,727/39,763 = 39,763/x
  3. Step 3: Cross multiply
    18,727x = 39,763 × 39,763
  4. Step 4: Simplify right side
    18,727x = 1,581,096,169
  5. Step 5: Solve for x
    x = 1,581,096,169/18,727
  6. Step 6: Final answer
    x = 84,428.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.