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Finding the Third Proportional to 176.20 and 273.23

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Solution

The third proportional to 176.20 and 273.23 is: 423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.20 : 273.23 = 273.23 : x
  2. Step 2: Convert to fraction form
    176.20/273.23 = 273.23/x
  3. Step 3: Cross multiply
    176.20x = 273.23 × 273.23
  4. Step 4: Simplify right side
    176.20x = 74,657.02
  5. Step 5: Solve for x
    x = 74,657.02/176.20
  6. Step 6: Final answer
    x = 423.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.