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Finding the Third Proportional to 206.10 and 453.85

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Solution

The third proportional to 206.10 and 453.85 is: 999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.10 : 453.85 = 453.85 : x
  2. Step 2: Convert to fraction form
    206.10/453.85 = 453.85/x
  3. Step 3: Cross multiply
    206.10x = 453.85 × 453.85
  4. Step 4: Simplify right side
    206.10x = 205,975.48
  5. Step 5: Solve for x
    x = 205,975.48/206.10
  6. Step 6: Final answer
    x = 999.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.