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Finding the Third Proportional to 378,324 and 774,144

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Solution

The third proportional to 378,324 and 774,144 is: 1,584,089.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,324 : 774,144 = 774,144 : x
  2. Step 2: Convert to fraction form
    378,324/774,144 = 774,144/x
  3. Step 3: Cross multiply
    378,324x = 774,144 × 774,144
  4. Step 4: Simplify right side
    378,324x = 599,298,932,736
  5. Step 5: Solve for x
    x = 599,298,932,736/378,324
  6. Step 6: Final answer
    x = 1,584,089.12

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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.