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Finding the Third Proportional to 79.94 and 118.78

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Solution

The third proportional to 79.94 and 118.78 is: 176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.94 : 118.78 = 118.78 : x
  2. Step 2: Convert to fraction form
    79.94/118.78 = 118.78/x
  3. Step 3: Cross multiply
    79.94x = 118.78 × 118.78
  4. Step 4: Simplify right side
    79.94x = 14,108.99
  5. Step 5: Solve for x
    x = 14,108.99/79.94
  6. Step 6: Final answer
    x = 176.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.