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Finding the Third Proportional to 170.42 and 243.44

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Solution

The third proportional to 170.42 and 243.44 is: 347.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.42 : 243.44 = 243.44 : x
  2. Step 2: Convert to fraction form
    170.42/243.44 = 243.44/x
  3. Step 3: Cross multiply
    170.42x = 243.44 × 243.44
  4. Step 4: Simplify right side
    170.42x = 59,261.82
  5. Step 5: Solve for x
    x = 59,261.82/170.42
  6. Step 6: Final answer
    x = 347.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.