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Finding the Third Proportional to 79.36 and 116.91

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Solution

The third proportional to 79.36 and 116.91 is: 172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.36 : 116.91 = 116.91 : x
  2. Step 2: Convert to fraction form
    79.36/116.91 = 116.91/x
  3. Step 3: Cross multiply
    79.36x = 116.91 × 116.91
  4. Step 4: Simplify right side
    79.36x = 13,667.07
  5. Step 5: Solve for x
    x = 13,667.07/79.36
  6. Step 6: Final answer
    x = 172.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.