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Finding the Third Proportional to 93.56 and 141.22

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Solution

The third proportional to 93.56 and 141.22 is: 213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.56 : 141.22 = 141.22 : x
  2. Step 2: Convert to fraction form
    93.56/141.22 = 141.22/x
  3. Step 3: Cross multiply
    93.56x = 141.22 × 141.22
  4. Step 4: Simplify right side
    93.56x = 19,942.74
  5. Step 5: Solve for x
    x = 19,942.74/93.56
  6. Step 6: Final answer
    x = 213.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.