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Finding the Third Proportional to 209,616 and 324,828

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Solution

The third proportional to 209,616 and 324,828 is: 503,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,616 : 324,828 = 324,828 : x
  2. Step 2: Convert to fraction form
    209,616/324,828 = 324,828/x
  3. Step 3: Cross multiply
    209,616x = 324,828 × 324,828
  4. Step 4: Simplify right side
    209,616x = 105,513,229,584
  5. Step 5: Solve for x
    x = 105,513,229,584/209,616
  6. Step 6: Final answer
    x = 503,364.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.