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Finding the Third Proportional to 324,821.25 and 670,239

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Solution

The third proportional to 324,821.25 and 670,239 is: 1,382,977.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,821.25 : 670,239 = 670,239 : x
  2. Step 2: Convert to fraction form
    324,821.25/670,239 = 670,239/x
  3. Step 3: Cross multiply
    324,821.25x = 670,239 × 670,239
  4. Step 4: Simplify right side
    324,821.25x = 449,220,317,121
  5. Step 5: Solve for x
    x = 449,220,317,121/324,821.25
  6. Step 6: Final answer
    x = 1,382,977.00

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.