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Finding the Third Proportional to 206.10 and 476.80

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Solution

The third proportional to 206.10 and 476.80 is: 1,103.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.10 : 476.80 = 476.80 : x
  2. Step 2: Convert to fraction form
    206.10/476.80 = 476.80/x
  3. Step 3: Cross multiply
    206.10x = 476.80 × 476.80
  4. Step 4: Simplify right side
    206.10x = 227,342.48
  5. Step 5: Solve for x
    x = 227,342.48/206.10
  6. Step 6: Final answer
    x = 1,103.07

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.