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Finding the Third Proportional to 289,489 and 628,486

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Solution

The third proportional to 289,489 and 628,486 is: 1,364,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,489 : 628,486 = 628,486 : x
  2. Step 2: Convert to fraction form
    289,489/628,486 = 628,486/x
  3. Step 3: Cross multiply
    289,489x = 628,486 × 628,486
  4. Step 4: Simplify right side
    289,489x = 394,994,652,196
  5. Step 5: Solve for x
    x = 394,994,652,196/289,489
  6. Step 6: Final answer
    x = 1,364,454.79

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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.