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Finding the Third Proportional to 256,479.75 and 440,076.38

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Solution

The third proportional to 256,479.75 and 440,076.38 is: 755,097.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,479.75 : 440,076.38 = 440,076.38 : x
  2. Step 2: Convert to fraction form
    256,479.75/440,076.38 = 440,076.38/x
  3. Step 3: Cross multiply
    256,479.75x = 440,076.38 × 440,076.38
  4. Step 4: Simplify right side
    256,479.75x = 193,667,215,833.14
  5. Step 5: Solve for x
    x = 193,667,215,833.14/256,479.75
  6. Step 6: Final answer
    x = 755,097.49

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.