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Finding the Third Proportional to 104,400 and 221,760

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Solution

The third proportional to 104,400 and 221,760 is: 471,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,400 : 221,760 = 221,760 : x
  2. Step 2: Convert to fraction form
    104,400/221,760 = 221,760/x
  3. Step 3: Cross multiply
    104,400x = 221,760 × 221,760
  4. Step 4: Simplify right side
    104,400x = 49,177,497,600
  5. Step 5: Solve for x
    x = 49,177,497,600/104,400
  6. Step 6: Final answer
    x = 471,048.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.