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Finding the Third Proportional to 289,286 and 628,328

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Solution

The third proportional to 289,286 and 628,328 is: 1,364,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,286 : 628,328 = 628,328 : x
  2. Step 2: Convert to fraction form
    289,286/628,328 = 628,328/x
  3. Step 3: Cross multiply
    289,286x = 628,328 × 628,328
  4. Step 4: Simplify right side
    289,286x = 394,796,075,584
  5. Step 5: Solve for x
    x = 394,796,075,584/289,286
  6. Step 6: Final answer
    x = 1,364,725.83

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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.