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Finding the Third Proportional to 201,120 and 311,614

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Solution

The third proportional to 201,120 and 311,614 is: 482,812.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,120 : 311,614 = 311,614 : x
  2. Step 2: Convert to fraction form
    201,120/311,614 = 311,614/x
  3. Step 3: Cross multiply
    201,120x = 311,614 × 311,614
  4. Step 4: Simplify right side
    201,120x = 97,103,284,996
  5. Step 5: Solve for x
    x = 97,103,284,996/201,120
  6. Step 6: Final answer
    x = 482,812.67

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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.