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Finding the Third Proportional to 276,609 and 603,485

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Solution

The third proportional to 276,609 and 603,485 is: 1,316,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,609 : 603,485 = 603,485 : x
  2. Step 2: Convert to fraction form
    276,609/603,485 = 603,485/x
  3. Step 3: Cross multiply
    276,609x = 603,485 × 603,485
  4. Step 4: Simplify right side
    276,609x = 364,194,145,225
  5. Step 5: Solve for x
    x = 364,194,145,225/276,609
  6. Step 6: Final answer
    x = 1,316,638.81

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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.