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Finding the Third Proportional to 17,450 and 38,770

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Solution

The third proportional to 17,450 and 38,770 is: 86,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,450 : 38,770 = 38,770 : x
  2. Step 2: Convert to fraction form
    17,450/38,770 = 38,770/x
  3. Step 3: Cross multiply
    17,450x = 38,770 × 38,770
  4. Step 4: Simplify right side
    17,450x = 1,503,112,900
  5. Step 5: Solve for x
    x = 1,503,112,900/17,450
  6. Step 6: Final answer
    x = 86,138.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.