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Finding the Third Proportional to 173.38 and 275.88

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Solution

The third proportional to 173.38 and 275.88 is: 438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.38 : 275.88 = 275.88 : x
  2. Step 2: Convert to fraction form
    173.38/275.88 = 275.88/x
  3. Step 3: Cross multiply
    173.38x = 275.88 × 275.88
  4. Step 4: Simplify right side
    173.38x = 76,107.02
  5. Step 5: Solve for x
    x = 76,107.02/173.38
  6. Step 6: Final answer
    x = 438.97

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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.