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Finding the Third Proportional to 209,790 and 321,732

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Solution

The third proportional to 209,790 and 321,732 is: 493,405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,790 : 321,732 = 321,732 : x
  2. Step 2: Convert to fraction form
    209,790/321,732 = 321,732/x
  3. Step 3: Cross multiply
    209,790x = 321,732 × 321,732
  4. Step 4: Simplify right side
    209,790x = 103,511,479,824
  5. Step 5: Solve for x
    x = 103,511,479,824/209,790
  6. Step 6: Final answer
    x = 493,405.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.