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Finding the Third Proportional to 311,874 and 486,064

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Solution

The third proportional to 311,874 and 486,064 is: 757,543.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,874 : 486,064 = 486,064 : x
  2. Step 2: Convert to fraction form
    311,874/486,064 = 486,064/x
  3. Step 3: Cross multiply
    311,874x = 486,064 × 486,064
  4. Step 4: Simplify right side
    311,874x = 236,258,212,096
  5. Step 5: Solve for x
    x = 236,258,212,096/311,874
  6. Step 6: Final answer
    x = 757,543.79

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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.