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Finding the Third Proportional to 324,268.50 and 515,271.75

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Solution

The third proportional to 324,268.50 and 515,271.75 is: 818,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,268.50 : 515,271.75 = 515,271.75 : x
  2. Step 2: Convert to fraction form
    324,268.50/515,271.75 = 515,271.75/x
  3. Step 3: Cross multiply
    324,268.50x = 515,271.75 × 515,271.75
  4. Step 4: Simplify right side
    324,268.50x = 265,504,976,348.06
  5. Step 5: Solve for x
    x = 265,504,976,348.06/324,268.50
  6. Step 6: Final answer
    x = 818,781.28

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.