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Finding the Third Proportional to 115.03 and 206.02

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Solution

The third proportional to 115.03 and 206.02 is: 368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.03 : 206.02 = 206.02 : x
  2. Step 2: Convert to fraction form
    115.03/206.02 = 206.02/x
  3. Step 3: Cross multiply
    115.03x = 206.02 × 206.02
  4. Step 4: Simplify right side
    115.03x = 42,442.44
  5. Step 5: Solve for x
    x = 42,442.44/115.03
  6. Step 6: Final answer
    x = 368.96

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.