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Finding the Third Proportional to 201,121 and 311,615

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Solution

The third proportional to 201,121 and 311,615 is: 482,813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,121 : 311,615 = 311,615 : x
  2. Step 2: Convert to fraction form
    201,121/311,615 = 311,615/x
  3. Step 3: Cross multiply
    201,121x = 311,615 × 311,615
  4. Step 4: Simplify right side
    201,121x = 97,103,908,225
  5. Step 5: Solve for x
    x = 97,103,908,225/201,121
  6. Step 6: Final answer
    x = 482,813.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.