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Finding the Third Proportional to 172.34 and 365.87

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Solution

The third proportional to 172.34 and 365.87 is: 776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.34 : 365.87 = 365.87 : x
  2. Step 2: Convert to fraction form
    172.34/365.87 = 365.87/x
  3. Step 3: Cross multiply
    172.34x = 365.87 × 365.87
  4. Step 4: Simplify right side
    172.34x = 133,861.66
  5. Step 5: Solve for x
    x = 133,861.66/172.34
  6. Step 6: Final answer
    x = 776.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.