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Finding the Third Proportional to 17,685 and 38,529

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Solution

The third proportional to 17,685 and 38,529 is: 83,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685 : 38,529 = 38,529 : x
  2. Step 2: Convert to fraction form
    17,685/38,529 = 38,529/x
  3. Step 3: Cross multiply
    17,685x = 38,529 × 38,529
  4. Step 4: Simplify right side
    17,685x = 1,484,483,841
  5. Step 5: Solve for x
    x = 1,484,483,841/17,685
  6. Step 6: Final answer
    x = 83,940.28

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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.