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Finding the Third Proportional to 101,551 and 223,345

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Solution

The third proportional to 101,551 and 223,345 is: 491,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,551 : 223,345 = 223,345 : x
  2. Step 2: Convert to fraction form
    101,551/223,345 = 223,345/x
  3. Step 3: Cross multiply
    101,551x = 223,345 × 223,345
  4. Step 4: Simplify right side
    101,551x = 49,882,989,025
  5. Step 5: Solve for x
    x = 49,882,989,025/101,551
  6. Step 6: Final answer
    x = 491,211.20

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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.