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Finding the Third Proportional to 184,839 and 378,421

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Solution

The third proportional to 184,839 and 378,421 is: 774,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,839 : 378,421 = 378,421 : x
  2. Step 2: Convert to fraction form
    184,839/378,421 = 378,421/x
  3. Step 3: Cross multiply
    184,839x = 378,421 × 378,421
  4. Step 4: Simplify right side
    184,839x = 143,202,453,241
  5. Step 5: Solve for x
    x = 143,202,453,241/184,839
  6. Step 6: Final answer
    x = 774,741.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.