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Finding the Third Proportional to 93.71 and 141.96

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Solution

The third proportional to 93.71 and 141.96 is: 215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.71 : 141.96 = 141.96 : x
  2. Step 2: Convert to fraction form
    93.71/141.96 = 141.96/x
  3. Step 3: Cross multiply
    93.71x = 141.96 × 141.96
  4. Step 4: Simplify right side
    93.71x = 20,152.67
  5. Step 5: Solve for x
    x = 20,152.67/93.71
  6. Step 6: Final answer
    x = 215.06

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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.