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Finding the Third Proportional to 78,198 and 184,415

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Solution

The third proportional to 78,198 and 184,415 is: 434,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,198 : 184,415 = 184,415 : x
  2. Step 2: Convert to fraction form
    78,198/184,415 = 184,415/x
  3. Step 3: Cross multiply
    78,198x = 184,415 × 184,415
  4. Step 4: Simplify right side
    78,198x = 34,008,892,225
  5. Step 5: Solve for x
    x = 34,008,892,225/78,198
  6. Step 6: Final answer
    x = 434,907.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.