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Finding the Third Proportional to 177,621 and 270,078

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Solution

The third proportional to 177,621 and 270,078 is: 410,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,621 : 270,078 = 270,078 : x
  2. Step 2: Convert to fraction form
    177,621/270,078 = 270,078/x
  3. Step 3: Cross multiply
    177,621x = 270,078 × 270,078
  4. Step 4: Simplify right side
    177,621x = 72,942,126,084
  5. Step 5: Solve for x
    x = 72,942,126,084/177,621
  6. Step 6: Final answer
    x = 410,661.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.