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Finding the Third Proportional to 190,910 and 291,387

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Solution

The third proportional to 190,910 and 291,387 is: 444,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,910 : 291,387 = 291,387 : x
  2. Step 2: Convert to fraction form
    190,910/291,387 = 291,387/x
  3. Step 3: Cross multiply
    190,910x = 291,387 × 291,387
  4. Step 4: Simplify right side
    190,910x = 84,906,383,769
  5. Step 5: Solve for x
    x = 84,906,383,769/190,910
  6. Step 6: Final answer
    x = 444,745.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.