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Finding the Third Proportional to 19,081 and 38,701

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Solution

The third proportional to 19,081 and 38,701 is: 78,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,081 : 38,701 = 38,701 : x
  2. Step 2: Convert to fraction form
    19,081/38,701 = 38,701/x
  3. Step 3: Cross multiply
    19,081x = 38,701 × 38,701
  4. Step 4: Simplify right side
    19,081x = 1,497,767,401
  5. Step 5: Solve for x
    x = 1,497,767,401/19,081
  6. Step 6: Final answer
    x = 78,495.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.