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Finding the Third Proportional to 300,883 and 423,343

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Solution

The third proportional to 300,883 and 423,343 is: 595,644.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,883 : 423,343 = 423,343 : x
  2. Step 2: Convert to fraction form
    300,883/423,343 = 423,343/x
  3. Step 3: Cross multiply
    300,883x = 423,343 × 423,343
  4. Step 4: Simplify right side
    300,883x = 179,219,295,649
  5. Step 5: Solve for x
    x = 179,219,295,649/300,883
  6. Step 6: Final answer
    x = 595,644.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.