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Finding the Third Proportional to 178.69 and 384.94

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Solution

The third proportional to 178.69 and 384.94 is: 829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.69 : 384.94 = 384.94 : x
  2. Step 2: Convert to fraction form
    178.69/384.94 = 384.94/x
  3. Step 3: Cross multiply
    178.69x = 384.94 × 384.94
  4. Step 4: Simplify right side
    178.69x = 148,176.88
  5. Step 5: Solve for x
    x = 148,176.88/178.69
  6. Step 6: Final answer
    x = 829.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.