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Finding the Third Proportional to 209,154.50 and 323,178.75

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Solution

The third proportional to 209,154.50 and 323,178.75 is: 499,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,154.50 : 323,178.75 = 323,178.75 : x
  2. Step 2: Convert to fraction form
    209,154.50/323,178.75 = 323,178.75/x
  3. Step 3: Cross multiply
    209,154.50x = 323,178.75 × 323,178.75
  4. Step 4: Simplify right side
    209,154.50x = 104,444,504,451.56
  5. Step 5: Solve for x
    x = 104,444,504,451.56/209,154.50
  6. Step 6: Final answer
    x = 499,365.32

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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.