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Finding the Third Proportional to 100,448 and 220,167

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Solution

The third proportional to 100,448 and 220,167 is: 482,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,448 : 220,167 = 220,167 : x
  2. Step 2: Convert to fraction form
    100,448/220,167 = 220,167/x
  3. Step 3: Cross multiply
    100,448x = 220,167 × 220,167
  4. Step 4: Simplify right side
    100,448x = 48,473,507,889
  5. Step 5: Solve for x
    x = 48,473,507,889/100,448
  6. Step 6: Final answer
    x = 482,573.15

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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.