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Finding the Third Proportional to 101,516 and 223,278

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Solution

The third proportional to 101,516 and 223,278 is: 491,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,516 : 223,278 = 223,278 : x
  2. Step 2: Convert to fraction form
    101,516/223,278 = 223,278/x
  3. Step 3: Cross multiply
    101,516x = 223,278 × 223,278
  4. Step 4: Simplify right side
    101,516x = 49,853,065,284
  5. Step 5: Solve for x
    x = 49,853,065,284/101,516
  6. Step 6: Final answer
    x = 491,085.79

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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.