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Finding the Third Proportional to 137.39 and 299.67

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Solution

The third proportional to 137.39 and 299.67 is: 653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.39 : 299.67 = 299.67 : x
  2. Step 2: Convert to fraction form
    137.39/299.67 = 299.67/x
  3. Step 3: Cross multiply
    137.39x = 299.67 × 299.67
  4. Step 4: Simplify right side
    137.39x = 89,803.23
  5. Step 5: Solve for x
    x = 89,803.23/137.39
  6. Step 6: Final answer
    x = 653.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.