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Finding the Third Proportional to 289,504 and 628,568

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Solution

The third proportional to 289,504 and 628,568 is: 1,364,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,504 : 628,568 = 628,568 : x
  2. Step 2: Convert to fraction form
    289,504/628,568 = 628,568/x
  3. Step 3: Cross multiply
    289,504x = 628,568 × 628,568
  4. Step 4: Simplify right side
    289,504x = 395,097,730,624
  5. Step 5: Solve for x
    x = 395,097,730,624/289,504
  6. Step 6: Final answer
    x = 1,364,740.14

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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.