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Finding the Third Proportional to 173.88 and 243.09

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Solution

The third proportional to 173.88 and 243.09 is: 339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.88 : 243.09 = 243.09 : x
  2. Step 2: Convert to fraction form
    173.88/243.09 = 243.09/x
  3. Step 3: Cross multiply
    173.88x = 243.09 × 243.09
  4. Step 4: Simplify right side
    173.88x = 59,094.57
  5. Step 5: Solve for x
    x = 59,094.57/173.88
  6. Step 6: Final answer
    x = 339.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.