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Finding the Third Proportional to 66.47 and 105.44

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Solution

The third proportional to 66.47 and 105.44 is: 167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.47 : 105.44 = 105.44 : x
  2. Step 2: Convert to fraction form
    66.47/105.44 = 105.44/x
  3. Step 3: Cross multiply
    66.47x = 105.44 × 105.44
  4. Step 4: Simplify right side
    66.47x = 11,117.07
  5. Step 5: Solve for x
    x = 11,117.07/66.47
  6. Step 6: Final answer
    x = 167.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.