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Finding the Third Proportional to 137.81 and 300.23

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Solution

The third proportional to 137.81 and 300.23 is: 654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.81 : 300.23 = 300.23 : x
  2. Step 2: Convert to fraction form
    137.81/300.23 = 300.23/x
  3. Step 3: Cross multiply
    137.81x = 300.23 × 300.23
  4. Step 4: Simplify right side
    137.81x = 90,140.68
  5. Step 5: Solve for x
    x = 90,140.68/137.81
  6. Step 6: Final answer
    x = 654.08

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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.