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Finding the Third Proportional to 180.98 and 243.07

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Solution

The third proportional to 180.98 and 243.07 is: 326.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.98 : 243.07 = 243.07 : x
  2. Step 2: Convert to fraction form
    180.98/243.07 = 243.07/x
  3. Step 3: Cross multiply
    180.98x = 243.07 × 243.07
  4. Step 4: Simplify right side
    180.98x = 59,083.18
  5. Step 5: Solve for x
    x = 59,083.18/180.98
  6. Step 6: Final answer
    x = 326.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.