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Finding the Third Proportional to 45,603 and 100,197

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Solution

The third proportional to 45,603 and 100,197 is: 220,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,603 : 100,197 = 100,197 : x
  2. Step 2: Convert to fraction form
    45,603/100,197 = 100,197/x
  3. Step 3: Cross multiply
    45,603x = 100,197 × 100,197
  4. Step 4: Simplify right side
    45,603x = 10,039,438,809
  5. Step 5: Solve for x
    x = 10,039,438,809/45,603
  6. Step 6: Final answer
    x = 220,148.65

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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.