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Finding the Third Proportional to 251,841 and 380,187

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Solution

The third proportional to 251,841 and 380,187 is: 573,942.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,841 : 380,187 = 380,187 : x
  2. Step 2: Convert to fraction form
    251,841/380,187 = 380,187/x
  3. Step 3: Cross multiply
    251,841x = 380,187 × 380,187
  4. Step 4: Simplify right side
    251,841x = 144,542,154,969
  5. Step 5: Solve for x
    x = 144,542,154,969/251,841
  6. Step 6: Final answer
    x = 573,942.11

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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.