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Finding the Third Proportional to 176.77 and 378.84

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Solution

The third proportional to 176.77 and 378.84 is: 811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.77 : 378.84 = 378.84 : x
  2. Step 2: Convert to fraction form
    176.77/378.84 = 378.84/x
  3. Step 3: Cross multiply
    176.77x = 378.84 × 378.84
  4. Step 4: Simplify right side
    176.77x = 143,522.59
  5. Step 5: Solve for x
    x = 143,522.59/176.77
  6. Step 6: Final answer
    x = 811.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.