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Finding the Third Proportional to 311,469.75 and 477,486

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Solution

The third proportional to 311,469.75 and 477,486 is: 731,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,469.75 : 477,486 = 477,486 : x
  2. Step 2: Convert to fraction form
    311,469.75/477,486 = 477,486/x
  3. Step 3: Cross multiply
    311,469.75x = 477,486 × 477,486
  4. Step 4: Simplify right side
    311,469.75x = 227,992,880,196
  5. Step 5: Solve for x
    x = 227,992,880,196/311,469.75
  6. Step 6: Final answer
    x = 731,990.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.