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Finding the Third Proportional to 289,255 and 628,263

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Solution

The third proportional to 289,255 and 628,263 is: 1,364,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,255 : 628,263 = 628,263 : x
  2. Step 2: Convert to fraction form
    289,255/628,263 = 628,263/x
  3. Step 3: Cross multiply
    289,255x = 628,263 × 628,263
  4. Step 4: Simplify right side
    289,255x = 394,714,397,169
  5. Step 5: Solve for x
    x = 394,714,397,169/289,255
  6. Step 6: Final answer
    x = 1,364,589.71

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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.