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Finding the Third Proportional to 201,119 and 311,612

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Solution

The third proportional to 201,119 and 311,612 is: 482,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,119 : 311,612 = 311,612 : x
  2. Step 2: Convert to fraction form
    201,119/311,612 = 311,612/x
  3. Step 3: Cross multiply
    201,119x = 311,612 × 311,612
  4. Step 4: Simplify right side
    201,119x = 97,102,038,544
  5. Step 5: Solve for x
    x = 97,102,038,544/201,119
  6. Step 6: Final answer
    x = 482,808.88

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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.