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Finding the Third Proportional to 276,364 and 405,474

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Solution

The third proportional to 276,364 and 405,474 is: 594,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,364 : 405,474 = 405,474 : x
  2. Step 2: Convert to fraction form
    276,364/405,474 = 405,474/x
  3. Step 3: Cross multiply
    276,364x = 405,474 × 405,474
  4. Step 4: Simplify right side
    276,364x = 164,409,164,676
  5. Step 5: Solve for x
    x = 164,409,164,676/276,364
  6. Step 6: Final answer
    x = 594,900.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.