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Finding the Third Proportional to 321,838 and 450,164

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Solution

The third proportional to 321,838 and 450,164 is: 629,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,838 : 450,164 = 450,164 : x
  2. Step 2: Convert to fraction form
    321,838/450,164 = 450,164/x
  3. Step 3: Cross multiply
    321,838x = 450,164 × 450,164
  4. Step 4: Simplify right side
    321,838x = 202,647,626,896
  5. Step 5: Solve for x
    x = 202,647,626,896/321,838
  6. Step 6: Final answer
    x = 629,657.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.