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Finding the Third Proportional to 100,576 and 221,240

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Solution

The third proportional to 100,576 and 221,240 is: 486,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,576 : 221,240 = 221,240 : x
  2. Step 2: Convert to fraction form
    100,576/221,240 = 221,240/x
  3. Step 3: Cross multiply
    100,576x = 221,240 × 221,240
  4. Step 4: Simplify right side
    100,576x = 48,947,137,600
  5. Step 5: Solve for x
    x = 48,947,137,600/100,576
  6. Step 6: Final answer
    x = 486,668.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.