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Finding the Third Proportional to 289,914 and 628,086

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Solution

The third proportional to 289,914 and 628,086 is: 1,360,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,914 : 628,086 = 628,086 : x
  2. Step 2: Convert to fraction form
    289,914/628,086 = 628,086/x
  3. Step 3: Cross multiply
    289,914x = 628,086 × 628,086
  4. Step 4: Simplify right side
    289,914x = 394,492,023,396
  5. Step 5: Solve for x
    x = 394,492,023,396/289,914
  6. Step 6: Final answer
    x = 1,360,720.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.