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Finding the Third Proportional to 101,867 and 221,445

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Solution

The third proportional to 101,867 and 221,445 is: 481,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,867 : 221,445 = 221,445 : x
  2. Step 2: Convert to fraction form
    101,867/221,445 = 221,445/x
  3. Step 3: Cross multiply
    101,867x = 221,445 × 221,445
  4. Step 4: Simplify right side
    101,867x = 49,037,888,025
  5. Step 5: Solve for x
    x = 49,037,888,025/101,867
  6. Step 6: Final answer
    x = 481,391.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.