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Finding the Third Proportional to 17,742 and 38,634

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Solution

The third proportional to 17,742 and 38,634 is: 84,127.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742 : 38,634 = 38,634 : x
  2. Step 2: Convert to fraction form
    17,742/38,634 = 38,634/x
  3. Step 3: Cross multiply
    17,742x = 38,634 × 38,634
  4. Step 4: Simplify right side
    17,742x = 1,492,585,956
  5. Step 5: Solve for x
    x = 1,492,585,956/17,742
  6. Step 6: Final answer
    x = 84,127.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.