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Finding the Third Proportional to 79.22 and 116.09

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Solution

The third proportional to 79.22 and 116.09 is: 170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.22 : 116.09 = 116.09 : x
  2. Step 2: Convert to fraction form
    79.22/116.09 = 116.09/x
  3. Step 3: Cross multiply
    79.22x = 116.09 × 116.09
  4. Step 4: Simplify right side
    79.22x = 13,477.76
  5. Step 5: Solve for x
    x = 13,477.76/79.22
  6. Step 6: Final answer
    x = 170.13

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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.