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Finding the Third Proportional to 180.05 and 243.25

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Solution

The third proportional to 180.05 and 243.25 is: 328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.05 : 243.25 = 243.25 : x
  2. Step 2: Convert to fraction form
    180.05/243.25 = 243.25/x
  3. Step 3: Cross multiply
    180.05x = 243.25 × 243.25
  4. Step 4: Simplify right side
    180.05x = 59,172.40
  5. Step 5: Solve for x
    x = 59,172.40/180.05
  6. Step 6: Final answer
    x = 328.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.