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Finding the Third Proportional to 268,796.25 and 405,274.50

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Solution

The third proportional to 268,796.25 and 405,274.50 is: 611,048.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,796.25 : 405,274.50 = 405,274.50 : x
  2. Step 2: Convert to fraction form
    268,796.25/405,274.50 = 405,274.50/x
  3. Step 3: Cross multiply
    268,796.25x = 405,274.50 × 405,274.50
  4. Step 4: Simplify right side
    268,796.25x = 164,247,420,350.25
  5. Step 5: Solve for x
    x = 164,247,420,350.25/268,796.25
  6. Step 6: Final answer
    x = 611,048.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.