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Finding the Third Proportional to 66.23 and 116.84

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Solution

The third proportional to 66.23 and 116.84 is: 206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.23 : 116.84 = 116.84 : x
  2. Step 2: Convert to fraction form
    66.23/116.84 = 116.84/x
  3. Step 3: Cross multiply
    66.23x = 116.84 × 116.84
  4. Step 4: Simplify right side
    66.23x = 13,650.64
  5. Step 5: Solve for x
    x = 13,650.64/66.23
  6. Step 6: Final answer
    x = 206.10

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.