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Finding the Third Proportional to 209,620 and 324,834

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Solution

The third proportional to 209,620 and 324,834 is: 503,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,620 : 324,834 = 324,834 : x
  2. Step 2: Convert to fraction form
    209,620/324,834 = 324,834/x
  3. Step 3: Cross multiply
    209,620x = 324,834 × 324,834
  4. Step 4: Simplify right side
    209,620x = 105,517,127,556
  5. Step 5: Solve for x
    x = 105,517,127,556/209,620
  6. Step 6: Final answer
    x = 503,373.38

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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.