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Finding the Third Proportional to 264,828 and 405,190

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Solution

The third proportional to 264,828 and 405,190 is: 619,945.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,828 : 405,190 = 405,190 : x
  2. Step 2: Convert to fraction form
    264,828/405,190 = 405,190/x
  3. Step 3: Cross multiply
    264,828x = 405,190 × 405,190
  4. Step 4: Simplify right side
    264,828x = 164,178,936,100
  5. Step 5: Solve for x
    x = 164,178,936,100/264,828
  6. Step 6: Final answer
    x = 619,945.53

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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.