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Finding the Third Proportional to 64.97 and 166.36

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Solution

The third proportional to 64.97 and 166.36 is: 425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.97 : 166.36 = 166.36 : x
  2. Step 2: Convert to fraction form
    64.97/166.36 = 166.36/x
  3. Step 3: Cross multiply
    64.97x = 166.36 × 166.36
  4. Step 4: Simplify right side
    64.97x = 27,675.44
  5. Step 5: Solve for x
    x = 27,675.44/64.97
  6. Step 6: Final answer
    x = 425.98

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These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.