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Finding the Third Proportional to 170.86 and 263.88

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Solution

The third proportional to 170.86 and 263.88 is: 407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.86 : 263.88 = 263.88 : x
  2. Step 2: Convert to fraction form
    170.86/263.88 = 263.88/x
  3. Step 3: Cross multiply
    170.86x = 263.88 × 263.88
  4. Step 4: Simplify right side
    170.86x = 69,634.14
  5. Step 5: Solve for x
    x = 69,634.14/170.86
  6. Step 6: Final answer
    x = 407.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.