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Finding the Third Proportional to 69.31 and 146.66

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Solution

The third proportional to 69.31 and 146.66 is: 310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.31 : 146.66 = 146.66 : x
  2. Step 2: Convert to fraction form
    69.31/146.66 = 146.66/x
  3. Step 3: Cross multiply
    69.31x = 146.66 × 146.66
  4. Step 4: Simplify right side
    69.31x = 21,508.06
  5. Step 5: Solve for x
    x = 21,508.06/69.31
  6. Step 6: Final answer
    x = 310.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.