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Finding the Third Proportional to 105,421 and 225,907

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Solution

The third proportional to 105,421 and 225,907 is: 484,096.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,421 : 225,907 = 225,907 : x
  2. Step 2: Convert to fraction form
    105,421/225,907 = 225,907/x
  3. Step 3: Cross multiply
    105,421x = 225,907 × 225,907
  4. Step 4: Simplify right side
    105,421x = 51,033,972,649
  5. Step 5: Solve for x
    x = 51,033,972,649/105,421
  6. Step 6: Final answer
    x = 484,096.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.