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Finding the Third Proportional to 75.09 and 116.16

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Solution

The third proportional to 75.09 and 116.16 is: 179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 116.16 = 116.16 : x
  2. Step 2: Convert to fraction form
    75.09/116.16 = 116.16/x
  3. Step 3: Cross multiply
    75.09x = 116.16 × 116.16
  4. Step 4: Simplify right side
    75.09x = 13,492.27
  5. Step 5: Solve for x
    x = 13,492.27/75.09
  6. Step 6: Final answer
    x = 179.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.