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Finding the Third Proportional to 66.76 and 103.99

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Solution

The third proportional to 66.76 and 103.99 is: 161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.76 : 103.99 = 103.99 : x
  2. Step 2: Convert to fraction form
    66.76/103.99 = 103.99/x
  3. Step 3: Cross multiply
    66.76x = 103.99 × 103.99
  4. Step 4: Simplify right side
    66.76x = 10,814.38
  5. Step 5: Solve for x
    x = 10,814.38/66.76
  6. Step 6: Final answer
    x = 161.98

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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.