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Finding the Third Proportional to 222,540.75 and 255,345.75

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Solution

The third proportional to 222,540.75 and 255,345.75 is: 292,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,540.75 : 255,345.75 = 255,345.75 : x
  2. Step 2: Convert to fraction form
    222,540.75/255,345.75 = 255,345.75/x
  3. Step 3: Cross multiply
    222,540.75x = 255,345.75 × 255,345.75
  4. Step 4: Simplify right side
    222,540.75x = 65,201,452,043.06
  5. Step 5: Solve for x
    x = 65,201,452,043.06/222,540.75
  6. Step 6: Final answer
    x = 292,986.57

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.