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Finding the Third Proportional to 289,483 and 628,481

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Solution

The third proportional to 289,483 and 628,481 is: 1,364,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,483 : 628,481 = 628,481 : x
  2. Step 2: Convert to fraction form
    289,483/628,481 = 628,481/x
  3. Step 3: Cross multiply
    289,483x = 628,481 × 628,481
  4. Step 4: Simplify right side
    289,483x = 394,988,367,361
  5. Step 5: Solve for x
    x = 394,988,367,361/289,483
  6. Step 6: Final answer
    x = 1,364,461.36

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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.