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Finding the Third Proportional to 281,383.50 and 421,302

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Solution

The third proportional to 281,383.50 and 421,302 is: 630,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,383.50 : 421,302 = 421,302 : x
  2. Step 2: Convert to fraction form
    281,383.50/421,302 = 421,302/x
  3. Step 3: Cross multiply
    281,383.50x = 421,302 × 421,302
  4. Step 4: Simplify right side
    281,383.50x = 177,495,375,204
  5. Step 5: Solve for x
    x = 177,495,375,204/281,383.50
  6. Step 6: Final answer
    x = 630,795.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.