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Finding the Third Proportional to 128,252 and 281,104

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Solution

The third proportional to 128,252 and 281,104 is: 616,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,252 : 281,104 = 281,104 : x
  2. Step 2: Convert to fraction form
    128,252/281,104 = 281,104/x
  3. Step 3: Cross multiply
    128,252x = 281,104 × 281,104
  4. Step 4: Simplify right side
    128,252x = 79,019,458,816
  5. Step 5: Solve for x
    x = 79,019,458,816/128,252
  6. Step 6: Final answer
    x = 616,126.52

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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.