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Finding the Third Proportional to 137.95 and 206.09

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Solution

The third proportional to 137.95 and 206.09 is: 307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.95 : 206.09 = 206.09 : x
  2. Step 2: Convert to fraction form
    137.95/206.09 = 206.09/x
  3. Step 3: Cross multiply
    137.95x = 206.09 × 206.09
  4. Step 4: Simplify right side
    137.95x = 42,471.41
  5. Step 5: Solve for x
    x = 42,471.41/137.95
  6. Step 6: Final answer
    x = 307.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.