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Finding the Third Proportional to 274,035 and 409,935

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Solution

The third proportional to 274,035 and 409,935 is: 613,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,035 : 409,935 = 409,935 : x
  2. Step 2: Convert to fraction form
    274,035/409,935 = 409,935/x
  3. Step 3: Cross multiply
    274,035x = 409,935 × 409,935
  4. Step 4: Simplify right side
    274,035x = 168,046,704,225
  5. Step 5: Solve for x
    x = 168,046,704,225/274,035
  6. Step 6: Final answer
    x = 613,230.81

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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.