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Finding the Third Proportional to 213.31 and 340.09

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Solution

The third proportional to 213.31 and 340.09 is: 542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.31 : 340.09 = 340.09 : x
  2. Step 2: Convert to fraction form
    213.31/340.09 = 340.09/x
  3. Step 3: Cross multiply
    213.31x = 340.09 × 340.09
  4. Step 4: Simplify right side
    213.31x = 115,663.76
  5. Step 5: Solve for x
    x = 115,663.76/213.31
  6. Step 6: Final answer
    x = 542.23

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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.