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Finding the Third Proportional to 74.81 and 116.91

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Solution

The third proportional to 74.81 and 116.91 is: 182.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.81 : 116.91 = 116.91 : x
  2. Step 2: Convert to fraction form
    74.81/116.91 = 116.91/x
  3. Step 3: Cross multiply
    74.81x = 116.91 × 116.91
  4. Step 4: Simplify right side
    74.81x = 13,667.07
  5. Step 5: Solve for x
    x = 13,667.07/74.81
  6. Step 6: Final answer
    x = 182.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.