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Finding the Third Proportional to 209,328 and 303,778

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Solution

The third proportional to 209,328 and 303,778 is: 440,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,328 : 303,778 = 303,778 : x
  2. Step 2: Convert to fraction form
    209,328/303,778 = 303,778/x
  3. Step 3: Cross multiply
    209,328x = 303,778 × 303,778
  4. Step 4: Simplify right side
    209,328x = 92,281,073,284
  5. Step 5: Solve for x
    x = 92,281,073,284/209,328
  6. Step 6: Final answer
    x = 440,844.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.