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Finding the Third Proportional to 209,112 and 324,252

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Solution

The third proportional to 209,112 and 324,252 is: 502,789.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,112 : 324,252 = 324,252 : x
  2. Step 2: Convert to fraction form
    209,112/324,252 = 324,252/x
  3. Step 3: Cross multiply
    209,112x = 324,252 × 324,252
  4. Step 4: Simplify right side
    209,112x = 105,139,359,504
  5. Step 5: Solve for x
    x = 105,139,359,504/209,112
  6. Step 6: Final answer
    x = 502,789.70

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