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Finding the Third Proportional to 99,296 and 212,806

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Solution

The third proportional to 99,296 and 212,806 is: 456,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,296 : 212,806 = 212,806 : x
  2. Step 2: Convert to fraction form
    99,296/212,806 = 212,806/x
  3. Step 3: Cross multiply
    99,296x = 212,806 × 212,806
  4. Step 4: Simplify right side
    99,296x = 45,286,393,636
  5. Step 5: Solve for x
    x = 45,286,393,636/99,296
  6. Step 6: Final answer
    x = 456,074.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.