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Finding the Third Proportional to 170.29 and 263.55

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Solution

The third proportional to 170.29 and 263.55 is: 407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.29 : 263.55 = 263.55 : x
  2. Step 2: Convert to fraction form
    170.29/263.55 = 263.55/x
  3. Step 3: Cross multiply
    170.29x = 263.55 × 263.55
  4. Step 4: Simplify right side
    170.29x = 69,457.15
  5. Step 5: Solve for x
    x = 69,457.15/170.29
  6. Step 6: Final answer
    x = 407.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.