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Finding the Third Proportional to 45,553 and 100,075

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Solution

The third proportional to 45,553 and 100,075 is: 219,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,553 : 100,075 = 100,075 : x
  2. Step 2: Convert to fraction form
    45,553/100,075 = 100,075/x
  3. Step 3: Cross multiply
    45,553x = 100,075 × 100,075
  4. Step 4: Simplify right side
    45,553x = 10,015,005,625
  5. Step 5: Solve for x
    x = 10,015,005,625/45,553
  6. Step 6: Final answer
    x = 219,853.92

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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.