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Finding the Third Proportional to 180,811 and 378,146

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Solution

The third proportional to 180,811 and 378,146 is: 790,850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,811 : 378,146 = 378,146 : x
  2. Step 2: Convert to fraction form
    180,811/378,146 = 378,146/x
  3. Step 3: Cross multiply
    180,811x = 378,146 × 378,146
  4. Step 4: Simplify right side
    180,811x = 142,994,397,316
  5. Step 5: Solve for x
    x = 142,994,397,316/180,811
  6. Step 6: Final answer
    x = 790,850.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.