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Finding the Third Proportional to 69,305 and 150,770

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Solution

The third proportional to 69,305 and 150,770 is: 327,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,305 : 150,770 = 150,770 : x
  2. Step 2: Convert to fraction form
    69,305/150,770 = 150,770/x
  3. Step 3: Cross multiply
    69,305x = 150,770 × 150,770
  4. Step 4: Simplify right side
    69,305x = 22,731,592,900
  5. Step 5: Solve for x
    x = 22,731,592,900/69,305
  6. Step 6: Final answer
    x = 327,993.55

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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.