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Finding the Third Proportional to 289,296 and 628,352

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Solution

The third proportional to 289,296 and 628,352 is: 1,364,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,296 : 628,352 = 628,352 : x
  2. Step 2: Convert to fraction form
    289,296/628,352 = 628,352/x
  3. Step 3: Cross multiply
    289,296x = 628,352 × 628,352
  4. Step 4: Simplify right side
    289,296x = 394,826,235,904
  5. Step 5: Solve for x
    x = 394,826,235,904/289,296
  6. Step 6: Final answer
    x = 1,364,782.91

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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.