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Finding the Third Proportional to 321,830 and 450,152

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Solution

The third proportional to 321,830 and 450,152 is: 629,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,830 : 450,152 = 450,152 : x
  2. Step 2: Convert to fraction form
    321,830/450,152 = 450,152/x
  3. Step 3: Cross multiply
    321,830x = 450,152 × 450,152
  4. Step 4: Simplify right side
    321,830x = 202,636,823,104
  5. Step 5: Solve for x
    x = 202,636,823,104/321,830
  6. Step 6: Final answer
    x = 629,639.32

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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.