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Finding the Third Proportional to 211,530 and 311,435

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Solution

The third proportional to 211,530 and 311,435 is: 458,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,530 : 311,435 = 311,435 : x
  2. Step 2: Convert to fraction form
    211,530/311,435 = 311,435/x
  3. Step 3: Cross multiply
    211,530x = 311,435 × 311,435
  4. Step 4: Simplify right side
    211,530x = 96,991,759,225
  5. Step 5: Solve for x
    x = 96,991,759,225/211,530
  6. Step 6: Final answer
    x = 458,524.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.