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Finding the Third Proportional to 165 and 258.63

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Solution

The third proportional to 165 and 258.63 is: 405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 258.63 = 258.63 : x
  2. Step 2: Convert to fraction form
    165/258.63 = 258.63/x
  3. Step 3: Cross multiply
    165x = 258.63 × 258.63
  4. Step 4: Simplify right side
    165x = 66,886.89
  5. Step 5: Solve for x
    x = 66,886.89/165
  6. Step 6: Final answer
    x = 405.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.