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Finding the Third Proportional to 174.09 and 243.42

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Solution

The third proportional to 174.09 and 243.42 is: 340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.09 : 243.42 = 243.42 : x
  2. Step 2: Convert to fraction form
    174.09/243.42 = 243.42/x
  3. Step 3: Cross multiply
    174.09x = 243.42 × 243.42
  4. Step 4: Simplify right side
    174.09x = 59,254.21
  5. Step 5: Solve for x
    x = 59,254.21/174.09
  6. Step 6: Final answer
    x = 340.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.