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Finding the Third Proportional to 17,185 and 36,638

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Solution

The third proportional to 17,185 and 36,638 is: 78,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185 : 36,638 = 36,638 : x
  2. Step 2: Convert to fraction form
    17,185/36,638 = 36,638/x
  3. Step 3: Cross multiply
    17,185x = 36,638 × 36,638
  4. Step 4: Simplify right side
    17,185x = 1,342,343,044
  5. Step 5: Solve for x
    x = 1,342,343,044/17,185
  6. Step 6: Final answer
    x = 78,111.32

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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.