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Finding the Third Proportional to 206.30 and 444.80

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Solution

The third proportional to 206.30 and 444.80 is: 959.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.30 : 444.80 = 444.80 : x
  2. Step 2: Convert to fraction form
    206.30/444.80 = 444.80/x
  3. Step 3: Cross multiply
    206.30x = 444.80 × 444.80
  4. Step 4: Simplify right side
    206.30x = 197,844.26
  5. Step 5: Solve for x
    x = 197,844.26/206.30
  6. Step 6: Final answer
    x = 959.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.