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Finding the Third Proportional to 378,240 and 773,760

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Solution

The third proportional to 378,240 and 773,760 is: 1,582,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,240 : 773,760 = 773,760 : x
  2. Step 2: Convert to fraction form
    378,240/773,760 = 773,760/x
  3. Step 3: Cross multiply
    378,240x = 773,760 × 773,760
  4. Step 4: Simplify right side
    378,240x = 598,704,537,600
  5. Step 5: Solve for x
    x = 598,704,537,600/378,240
  6. Step 6: Final answer
    x = 1,582,869.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.