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Finding the Third Proportional to 428,847 and 628,944

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Solution

The third proportional to 428,847 and 628,944 is: 922,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,847 : 628,944 = 628,944 : x
  2. Step 2: Convert to fraction form
    428,847/628,944 = 628,944/x
  3. Step 3: Cross multiply
    428,847x = 628,944 × 628,944
  4. Step 4: Simplify right side
    428,847x = 395,570,555,136
  5. Step 5: Solve for x
    x = 395,570,555,136/428,847
  6. Step 6: Final answer
    x = 922,404.86

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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.