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Finding the Third Proportional to 402,938 and 628,936

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Solution

The third proportional to 402,938 and 628,936 is: 981,690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,938 : 628,936 = 628,936 : x
  2. Step 2: Convert to fraction form
    402,938/628,936 = 628,936/x
  3. Step 3: Cross multiply
    402,938x = 628,936 × 628,936
  4. Step 4: Simplify right side
    402,938x = 395,560,492,096
  5. Step 5: Solve for x
    x = 395,560,492,096/402,938
  6. Step 6: Final answer
    x = 981,690.71

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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.