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Finding the Third Proportional to 179,138 and 270,723

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Solution

The third proportional to 179,138 and 270,723 is: 409,131.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,138 : 270,723 = 270,723 : x
  2. Step 2: Convert to fraction form
    179,138/270,723 = 270,723/x
  3. Step 3: Cross multiply
    179,138x = 270,723 × 270,723
  4. Step 4: Simplify right side
    179,138x = 73,290,942,729
  5. Step 5: Solve for x
    x = 73,290,942,729/179,138
  6. Step 6: Final answer
    x = 409,131.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.