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Finding the Third Proportional to 136.31 and 290.81

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Solution

The third proportional to 136.31 and 290.81 is: 620.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.31 : 290.81 = 290.81 : x
  2. Step 2: Convert to fraction form
    136.31/290.81 = 290.81/x
  3. Step 3: Cross multiply
    136.31x = 290.81 × 290.81
  4. Step 4: Simplify right side
    136.31x = 84,571.91
  5. Step 5: Solve for x
    x = 84,571.91/136.31
  6. Step 6: Final answer
    x = 620.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.