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Finding the Third Proportional to 170.67 and 257.48

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Solution

The third proportional to 170.67 and 257.48 is: 388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.67 : 257.48 = 257.48 : x
  2. Step 2: Convert to fraction form
    170.67/257.48 = 257.48/x
  3. Step 3: Cross multiply
    170.67x = 257.48 × 257.48
  4. Step 4: Simplify right side
    170.67x = 66,298.20
  5. Step 5: Solve for x
    x = 66,298.20/170.67
  6. Step 6: Final answer
    x = 388.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.