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Finding the Third Proportional to 274,018 and 409,913

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Solution

The third proportional to 274,018 and 409,913 is: 613,203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,018 : 409,913 = 409,913 : x
  2. Step 2: Convert to fraction form
    274,018/409,913 = 409,913/x
  3. Step 3: Cross multiply
    274,018x = 409,913 × 409,913
  4. Step 4: Simplify right side
    274,018x = 168,028,667,569
  5. Step 5: Solve for x
    x = 168,028,667,569/274,018
  6. Step 6: Final answer
    x = 613,203.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.