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Finding the Third Proportional to 221,819 and 481,005

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Solution

The third proportional to 221,819 and 481,005 is: 1,043,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,819 : 481,005 = 481,005 : x
  2. Step 2: Convert to fraction form
    221,819/481,005 = 481,005/x
  3. Step 3: Cross multiply
    221,819x = 481,005 × 481,005
  4. Step 4: Simplify right side
    221,819x = 231,365,810,025
  5. Step 5: Solve for x
    x = 231,365,810,025/221,819
  6. Step 6: Final answer
    x = 1,043,038.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.