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Finding the Third Proportional to 219,660 and 479,604

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Solution

The third proportional to 219,660 and 479,604 is: 1,047,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,660 : 479,604 = 479,604 : x
  2. Step 2: Convert to fraction form
    219,660/479,604 = 479,604/x
  3. Step 3: Cross multiply
    219,660x = 479,604 × 479,604
  4. Step 4: Simplify right side
    219,660x = 230,019,996,816
  5. Step 5: Solve for x
    x = 230,019,996,816/219,660
  6. Step 6: Final answer
    x = 1,047,163.78

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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.