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Finding the Third Proportional to 138,021 and 281,112

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Solution

The third proportional to 138,021 and 281,112 is: 572,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,021 : 281,112 = 281,112 : x
  2. Step 2: Convert to fraction form
    138,021/281,112 = 281,112/x
  3. Step 3: Cross multiply
    138,021x = 281,112 × 281,112
  4. Step 4: Simplify right side
    138,021x = 79,023,956,544
  5. Step 5: Solve for x
    x = 79,023,956,544/138,021
  6. Step 6: Final answer
    x = 572,550.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.