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Finding the Third Proportional to 378,884 and 505,470

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Solution

The third proportional to 378,884 and 505,470 is: 674,348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,884 : 505,470 = 505,470 : x
  2. Step 2: Convert to fraction form
    378,884/505,470 = 505,470/x
  3. Step 3: Cross multiply
    378,884x = 505,470 × 505,470
  4. Step 4: Simplify right side
    378,884x = 255,499,920,900
  5. Step 5: Solve for x
    x = 255,499,920,900/378,884
  6. Step 6: Final answer
    x = 674,348.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.