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Finding the Third Proportional to 206.30 and 319.99

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Solution

The third proportional to 206.30 and 319.99 is: 496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.30 : 319.99 = 319.99 : x
  2. Step 2: Convert to fraction form
    206.30/319.99 = 319.99/x
  3. Step 3: Cross multiply
    206.30x = 319.99 × 319.99
  4. Step 4: Simplify right side
    206.30x = 102,395.00
  5. Step 5: Solve for x
    x = 102,395.00/206.30
  6. Step 6: Final answer
    x = 496.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.