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Finding the Third Proportional to 320,597.25 and 498,396.75

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Solution

The third proportional to 320,597.25 and 498,396.75 is: 774,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,597.25 : 498,396.75 = 498,396.75 : x
  2. Step 2: Convert to fraction form
    320,597.25/498,396.75 = 498,396.75/x
  3. Step 3: Cross multiply
    320,597.25x = 498,396.75 × 498,396.75
  4. Step 4: Simplify right side
    320,597.25x = 248,399,320,410.56
  5. Step 5: Solve for x
    x = 248,399,320,410.56/320,597.25
  6. Step 6: Final answer
    x = 774,801.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.