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Finding the Third Proportional to 170.38 and 262.25

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Solution

The third proportional to 170.38 and 262.25 is: 403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.38 : 262.25 = 262.25 : x
  2. Step 2: Convert to fraction form
    170.38/262.25 = 262.25/x
  3. Step 3: Cross multiply
    170.38x = 262.25 × 262.25
  4. Step 4: Simplify right side
    170.38x = 68,774.04
  5. Step 5: Solve for x
    x = 68,774.04/170.38
  6. Step 6: Final answer
    x = 403.64

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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.