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Finding the Third Proportional to 397,770 and 775,380

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Solution

The third proportional to 397,770 and 775,380 is: 1,511,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,770 : 775,380 = 775,380 : x
  2. Step 2: Convert to fraction form
    397,770/775,380 = 775,380/x
  3. Step 3: Cross multiply
    397,770x = 775,380 × 775,380
  4. Step 4: Simplify right side
    397,770x = 601,214,144,400
  5. Step 5: Solve for x
    x = 601,214,144,400/397,770
  6. Step 6: Final answer
    x = 1,511,461.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.