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Finding the Third Proportional to 338,235 and 728,796

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Solution

The third proportional to 338,235 and 728,796 is: 1,570,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,235 : 728,796 = 728,796 : x
  2. Step 2: Convert to fraction form
    338,235/728,796 = 728,796/x
  3. Step 3: Cross multiply
    338,235x = 728,796 × 728,796
  4. Step 4: Simplify right side
    338,235x = 531,143,609,616
  5. Step 5: Solve for x
    x = 531,143,609,616/338,235
  6. Step 6: Final answer
    x = 1,570,338.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.