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Finding the Third Proportional to 338,231.25 and 728,788.50

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Solution

The third proportional to 338,231.25 and 728,788.50 is: 1,570,324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,231.25 : 728,788.50 = 728,788.50 : x
  2. Step 2: Convert to fraction form
    338,231.25/728,788.50 = 728,788.50/x
  3. Step 3: Cross multiply
    338,231.25x = 728,788.50 × 728,788.50
  4. Step 4: Simplify right side
    338,231.25x = 531,132,677,732.25
  5. Step 5: Solve for x
    x = 531,132,677,732.25/338,231.25
  6. Step 6: Final answer
    x = 1,570,324.08

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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.