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Finding the Third Proportional to 72.29 and 116.68

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Solution

The third proportional to 72.29 and 116.68 is: 188.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.29 : 116.68 = 116.68 : x
  2. Step 2: Convert to fraction form
    72.29/116.68 = 116.68/x
  3. Step 3: Cross multiply
    72.29x = 116.68 × 116.68
  4. Step 4: Simplify right side
    72.29x = 13,614.43
  5. Step 5: Solve for x
    x = 13,614.43/72.29
  6. Step 6: Final answer
    x = 188.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.