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Finding the Third Proportional to 99,751.50 and 212,442.75

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Solution

The third proportional to 99,751.50 and 212,442.75 is: 452,443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,751.50 : 212,442.75 = 212,442.75 : x
  2. Step 2: Convert to fraction form
    99,751.50/212,442.75 = 212,442.75/x
  3. Step 3: Cross multiply
    99,751.50x = 212,442.75 × 212,442.75
  4. Step 4: Simplify right side
    99,751.50x = 45,131,922,027.56
  5. Step 5: Solve for x
    x = 45,131,922,027.56/99,751.50
  6. Step 6: Final answer
    x = 452,443.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.