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Finding the Third Proportional to 201,049 and 311,427

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Solution

The third proportional to 201,049 and 311,427 is: 482,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,049 : 311,427 = 311,427 : x
  2. Step 2: Convert to fraction form
    201,049/311,427 = 311,427/x
  3. Step 3: Cross multiply
    201,049x = 311,427 × 311,427
  4. Step 4: Simplify right side
    201,049x = 96,986,776,329
  5. Step 5: Solve for x
    x = 96,986,776,329/201,049
  6. Step 6: Final answer
    x = 482,403.67

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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.