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Finding the Third Proportional to 289,485 and 628,479

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Solution

The third proportional to 289,485 and 628,479 is: 1,364,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,485 : 628,479 = 628,479 : x
  2. Step 2: Convert to fraction form
    289,485/628,479 = 628,479/x
  3. Step 3: Cross multiply
    289,485x = 628,479 × 628,479
  4. Step 4: Simplify right side
    289,485x = 394,985,853,441
  5. Step 5: Solve for x
    x = 394,985,853,441/289,485
  6. Step 6: Final answer
    x = 1,364,443.25

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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.