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Finding the Third Proportional to 128,256 and 281,112

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Solution

The third proportional to 128,256 and 281,112 is: 616,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,256 : 281,112 = 281,112 : x
  2. Step 2: Convert to fraction form
    128,256/281,112 = 281,112/x
  3. Step 3: Cross multiply
    128,256x = 281,112 × 281,112
  4. Step 4: Simplify right side
    128,256x = 79,023,956,544
  5. Step 5: Solve for x
    x = 79,023,956,544/128,256
  6. Step 6: Final answer
    x = 616,142.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.