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Finding the Third Proportional to 93.19 and 142.31

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Solution

The third proportional to 93.19 and 142.31 is: 217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.19 : 142.31 = 142.31 : x
  2. Step 2: Convert to fraction form
    93.19/142.31 = 142.31/x
  3. Step 3: Cross multiply
    93.19x = 142.31 × 142.31
  4. Step 4: Simplify right side
    93.19x = 20,252.85
  5. Step 5: Solve for x
    x = 20,252.85/93.19
  6. Step 6: Final answer
    x = 217.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.