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Finding the Third Proportional to 223.54 and 340.29

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Solution

The third proportional to 223.54 and 340.29 is: 518.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.54 : 340.29 = 340.29 : x
  2. Step 2: Convert to fraction form
    223.54/340.29 = 340.29/x
  3. Step 3: Cross multiply
    223.54x = 340.29 × 340.29
  4. Step 4: Simplify right side
    223.54x = 115,800.63
  5. Step 5: Solve for x
    x = 115,800.63/223.54
  6. Step 6: Final answer
    x = 518.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.