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Finding the Third Proportional to 281,455.50 and 414,738.75

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Solution

The third proportional to 281,455.50 and 414,738.75 is: 611,138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,455.50 : 414,738.75 = 414,738.75 : x
  2. Step 2: Convert to fraction form
    281,455.50/414,738.75 = 414,738.75/x
  3. Step 3: Cross multiply
    281,455.50x = 414,738.75 × 414,738.75
  4. Step 4: Simplify right side
    281,455.50x = 172,008,230,751.56
  5. Step 5: Solve for x
    x = 172,008,230,751.56/281,455.50
  6. Step 6: Final answer
    x = 611,138.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.