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Finding the Third Proportional to 311,912 and 486,084

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Solution

The third proportional to 311,912 and 486,084 is: 757,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,912 : 486,084 = 486,084 : x
  2. Step 2: Convert to fraction form
    311,912/486,084 = 486,084/x
  3. Step 3: Cross multiply
    311,912x = 486,084 × 486,084
  4. Step 4: Simplify right side
    311,912x = 236,277,655,056
  5. Step 5: Solve for x
    x = 236,277,655,056/311,912
  6. Step 6: Final answer
    x = 757,513.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.