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Finding the Third Proportional to 162.38 and 258.09

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Solution

The third proportional to 162.38 and 258.09 is: 410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.38 : 258.09 = 258.09 : x
  2. Step 2: Convert to fraction form
    162.38/258.09 = 258.09/x
  3. Step 3: Cross multiply
    162.38x = 258.09 × 258.09
  4. Step 4: Simplify right side
    162.38x = 66,612.38
  5. Step 5: Solve for x
    x = 66,612.38/162.38
  6. Step 6: Final answer
    x = 410.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.