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Finding the Third Proportional to 66.02 and 143.23

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Solution

The third proportional to 66.02 and 143.23 is: 310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.02 : 143.23 = 143.23 : x
  2. Step 2: Convert to fraction form
    66.02/143.23 = 143.23/x
  3. Step 3: Cross multiply
    66.02x = 143.23 × 143.23
  4. Step 4: Simplify right side
    66.02x = 20,513.85
  5. Step 5: Solve for x
    x = 20,513.85/66.02
  6. Step 6: Final answer
    x = 310.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.