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Finding the Third Proportional to 221,346 and 484,245

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Solution

The third proportional to 221,346 and 484,245 is: 1,059,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,346 : 484,245 = 484,245 : x
  2. Step 2: Convert to fraction form
    221,346/484,245 = 484,245/x
  3. Step 3: Cross multiply
    221,346x = 484,245 × 484,245
  4. Step 4: Simplify right side
    221,346x = 234,493,220,025
  5. Step 5: Solve for x
    x = 234,493,220,025/221,346
  6. Step 6: Final answer
    x = 1,059,396.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.