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Finding the Third Proportional to 71.94 and 156.97

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Solution

The third proportional to 71.94 and 156.97 is: 342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.94 : 156.97 = 156.97 : x
  2. Step 2: Convert to fraction form
    71.94/156.97 = 156.97/x
  3. Step 3: Cross multiply
    71.94x = 156.97 × 156.97
  4. Step 4: Simplify right side
    71.94x = 24,639.19
  5. Step 5: Solve for x
    x = 24,639.19/71.94
  6. Step 6: Final answer
    x = 342.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.