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Finding the Third Proportional to 213.75 and 340.31

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Solution

The third proportional to 213.75 and 340.31 is: 541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.75 : 340.31 = 340.31 : x
  2. Step 2: Convert to fraction form
    213.75/340.31 = 340.31/x
  3. Step 3: Cross multiply
    213.75x = 340.31 × 340.31
  4. Step 4: Simplify right side
    213.75x = 115,812.60
  5. Step 5: Solve for x
    x = 115,812.60/213.75
  6. Step 6: Final answer
    x = 541.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.