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Finding the Third Proportional to 379,444 and 774,129

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Solution

The third proportional to 379,444 and 774,129 is: 1,579,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,444 : 774,129 = 774,129 : x
  2. Step 2: Convert to fraction form
    379,444/774,129 = 774,129/x
  3. Step 3: Cross multiply
    379,444x = 774,129 × 774,129
  4. Step 4: Simplify right side
    379,444x = 599,275,708,641
  5. Step 5: Solve for x
    x = 599,275,708,641/379,444
  6. Step 6: Final answer
    x = 1,579,352.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.