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Finding the Third Proportional to 120,928 and 281,086

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Solution

The third proportional to 120,928 and 281,086 is: 653,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,928 : 281,086 = 281,086 : x
  2. Step 2: Convert to fraction form
    120,928/281,086 = 281,086/x
  3. Step 3: Cross multiply
    120,928x = 281,086 × 281,086
  4. Step 4: Simplify right side
    120,928x = 79,009,339,396
  5. Step 5: Solve for x
    x = 79,009,339,396/120,928
  6. Step 6: Final answer
    x = 653,358.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.