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Finding the Third Proportional to 289,524 and 628,608

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Solution

The third proportional to 289,524 and 628,608 is: 1,364,819.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,524 : 628,608 = 628,608 : x
  2. Step 2: Convert to fraction form
    289,524/628,608 = 628,608/x
  3. Step 3: Cross multiply
    289,524x = 628,608 × 628,608
  4. Step 4: Simplify right side
    289,524x = 395,148,017,664
  5. Step 5: Solve for x
    x = 395,148,017,664/289,524
  6. Step 6: Final answer
    x = 1,364,819.56

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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.