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Finding the Third Proportional to 289,941 and 408,303

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Solution

The third proportional to 289,941 and 408,303 is: 574,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,941 : 408,303 = 408,303 : x
  2. Step 2: Convert to fraction form
    289,941/408,303 = 408,303/x
  3. Step 3: Cross multiply
    289,941x = 408,303 × 408,303
  4. Step 4: Simplify right side
    289,941x = 166,711,339,809
  5. Step 5: Solve for x
    x = 166,711,339,809/289,941
  6. Step 6: Final answer
    x = 574,983.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.