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Finding the Third Proportional to 164.69 and 256.97

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Solution

The third proportional to 164.69 and 256.97 is: 400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.69 : 256.97 = 256.97 : x
  2. Step 2: Convert to fraction form
    164.69/256.97 = 256.97/x
  3. Step 3: Cross multiply
    164.69x = 256.97 × 256.97
  4. Step 4: Simplify right side
    164.69x = 66,032.94
  5. Step 5: Solve for x
    x = 66,032.94/164.69
  6. Step 6: Final answer
    x = 400.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.