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Finding the Third Proportional to 180.46 and 258.06

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Solution

The third proportional to 180.46 and 258.06 is: 369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.46 : 258.06 = 258.06 : x
  2. Step 2: Convert to fraction form
    180.46/258.06 = 258.06/x
  3. Step 3: Cross multiply
    180.46x = 258.06 × 258.06
  4. Step 4: Simplify right side
    180.46x = 66,592.73
  5. Step 5: Solve for x
    x = 66,592.73/180.46
  6. Step 6: Final answer
    x = 369.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.