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Finding the Third Proportional to 276,558 and 603,172

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Solution

The third proportional to 276,558 and 603,172 is: 1,315,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,558 : 603,172 = 603,172 : x
  2. Step 2: Convert to fraction form
    276,558/603,172 = 603,172/x
  3. Step 3: Cross multiply
    276,558x = 603,172 × 603,172
  4. Step 4: Simplify right side
    276,558x = 363,816,461,584
  5. Step 5: Solve for x
    x = 363,816,461,584/276,558
  6. Step 6: Final answer
    x = 1,315,515.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.