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Finding the Third Proportional to 404,923 and 628,611

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Solution

The third proportional to 404,923 and 628,611 is: 975,868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,923 : 628,611 = 628,611 : x
  2. Step 2: Convert to fraction form
    404,923/628,611 = 628,611/x
  3. Step 3: Cross multiply
    404,923x = 628,611 × 628,611
  4. Step 4: Simplify right side
    404,923x = 395,151,789,321
  5. Step 5: Solve for x
    x = 395,151,789,321/404,923
  6. Step 6: Final answer
    x = 975,868.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.