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Finding the Third Proportional to 178.63 and 380.81

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Solution

The third proportional to 178.63 and 380.81 is: 811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.63 : 380.81 = 380.81 : x
  2. Step 2: Convert to fraction form
    178.63/380.81 = 380.81/x
  3. Step 3: Cross multiply
    178.63x = 380.81 × 380.81
  4. Step 4: Simplify right side
    178.63x = 145,018.16
  5. Step 5: Solve for x
    x = 145,018.16/178.63
  6. Step 6: Final answer
    x = 811.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.