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Finding the Third Proportional to 450.56 and 949.78

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Solution

The third proportional to 450.56 and 949.78 is: 2,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.56 : 949.78 = 949.78 : x
  2. Step 2: Convert to fraction form
    450.56/949.78 = 949.78/x
  3. Step 3: Cross multiply
    450.56x = 949.78 × 949.78
  4. Step 4: Simplify right side
    450.56x = 902,084.42
  5. Step 5: Solve for x
    x = 902,084.42/450.56
  6. Step 6: Final answer
    x = 2,002.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.