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Finding the Third Proportional to 201,182 and 303,823

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Solution

The third proportional to 201,182 and 303,823 is: 458,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,182 : 303,823 = 303,823 : x
  2. Step 2: Convert to fraction form
    201,182/303,823 = 303,823/x
  3. Step 3: Cross multiply
    201,182x = 303,823 × 303,823
  4. Step 4: Simplify right side
    201,182x = 92,308,415,329
  5. Step 5: Solve for x
    x = 92,308,415,329/201,182
  6. Step 6: Final answer
    x = 458,830.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.