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Finding the Third Proportional to 69.61 and 156.94

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Solution

The third proportional to 69.61 and 156.94 is: 353.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.61 : 156.94 = 156.94 : x
  2. Step 2: Convert to fraction form
    69.61/156.94 = 156.94/x
  3. Step 3: Cross multiply
    69.61x = 156.94 × 156.94
  4. Step 4: Simplify right side
    69.61x = 24,629.38
  5. Step 5: Solve for x
    x = 24,629.38/69.61
  6. Step 6: Final answer
    x = 353.82

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.