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Finding the Third Proportional to 93.78 and 131.84

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Solution

The third proportional to 93.78 and 131.84 is: 185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.78 : 131.84 = 131.84 : x
  2. Step 2: Convert to fraction form
    93.78/131.84 = 131.84/x
  3. Step 3: Cross multiply
    93.78x = 131.84 × 131.84
  4. Step 4: Simplify right side
    93.78x = 17,382.77
  5. Step 5: Solve for x
    x = 17,382.77/93.78
  6. Step 6: Final answer
    x = 185.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.