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Finding the Third Proportional to 116.58 and 128.68

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Solution

The third proportional to 116.58 and 128.68 is: 142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.58 : 128.68 = 128.68 : x
  2. Step 2: Convert to fraction form
    116.58/128.68 = 128.68/x
  3. Step 3: Cross multiply
    116.58x = 128.68 × 128.68
  4. Step 4: Simplify right side
    116.58x = 16,558.15
  5. Step 5: Solve for x
    x = 16,558.15/116.58
  6. Step 6: Final answer
    x = 142.04

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.