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Finding the Third Proportional to 276,820 and 603,668

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Solution

The third proportional to 276,820 and 603,668 is: 1,316,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,820 : 603,668 = 603,668 : x
  2. Step 2: Convert to fraction form
    276,820/603,668 = 603,668/x
  3. Step 3: Cross multiply
    276,820x = 603,668 × 603,668
  4. Step 4: Simplify right side
    276,820x = 364,415,054,224
  5. Step 5: Solve for x
    x = 364,415,054,224/276,820
  6. Step 6: Final answer
    x = 1,316,433.26

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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.