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Finding the Third Proportional to 180,812 and 378,148

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Solution

The third proportional to 180,812 and 378,148 is: 790,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,812 : 378,148 = 378,148 : x
  2. Step 2: Convert to fraction form
    180,812/378,148 = 378,148/x
  3. Step 3: Cross multiply
    180,812x = 378,148 × 378,148
  4. Step 4: Simplify right side
    180,812x = 142,995,909,904
  5. Step 5: Solve for x
    x = 142,995,909,904/180,812
  6. Step 6: Final answer
    x = 790,854.09

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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.