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Finding the Third Proportional to 428,843 and 628,941

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Solution

The third proportional to 428,843 and 628,941 is: 922,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,843 : 628,941 = 628,941 : x
  2. Step 2: Convert to fraction form
    428,843/628,941 = 628,941/x
  3. Step 3: Cross multiply
    428,843x = 628,941 × 628,941
  4. Step 4: Simplify right side
    428,843x = 395,566,781,481
  5. Step 5: Solve for x
    x = 395,566,781,481/428,843
  6. Step 6: Final answer
    x = 922,404.66

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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.