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Finding the Third Proportional to 33,770 and 69,700

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Solution

The third proportional to 33,770 and 69,700 is: 143,858.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,770 : 69,700 = 69,700 : x
  2. Step 2: Convert to fraction form
    33,770/69,700 = 69,700/x
  3. Step 3: Cross multiply
    33,770x = 69,700 × 69,700
  4. Step 4: Simplify right side
    33,770x = 4,858,090,000
  5. Step 5: Solve for x
    x = 4,858,090,000/33,770
  6. Step 6: Final answer
    x = 143,858.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.