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Finding the Third Proportional to 209,104 and 324,239

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Solution

The third proportional to 209,104 and 324,239 is: 502,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,104 : 324,239 = 324,239 : x
  2. Step 2: Convert to fraction form
    209,104/324,239 = 324,239/x
  3. Step 3: Cross multiply
    209,104x = 324,239 × 324,239
  4. Step 4: Simplify right side
    209,104x = 105,130,929,121
  5. Step 5: Solve for x
    x = 105,130,929,121/209,104
  6. Step 6: Final answer
    x = 502,768.62

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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.