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Finding the Third Proportional to 170.06 and 270.31

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Solution

The third proportional to 170.06 and 270.31 is: 429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.06 : 270.31 = 270.31 : x
  2. Step 2: Convert to fraction form
    170.06/270.31 = 270.31/x
  3. Step 3: Cross multiply
    170.06x = 270.31 × 270.31
  4. Step 4: Simplify right side
    170.06x = 73,068.85
  5. Step 5: Solve for x
    x = 73,068.85/170.06
  6. Step 6: Final answer
    x = 429.66

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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.