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Finding the Third Proportional to 77.69 and 117.16

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Solution

The third proportional to 77.69 and 117.16 is: 176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.69 : 117.16 = 117.16 : x
  2. Step 2: Convert to fraction form
    77.69/117.16 = 117.16/x
  3. Step 3: Cross multiply
    77.69x = 117.16 × 117.16
  4. Step 4: Simplify right side
    77.69x = 13,725.59
  5. Step 5: Solve for x
    x = 13,725.59/77.69
  6. Step 6: Final answer
    x = 176.68

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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.