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Finding the Third Proportional to 64.97 and 102.66

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Solution

The third proportional to 64.97 and 102.66 is: 162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.97 : 102.66 = 102.66 : x
  2. Step 2: Convert to fraction form
    64.97/102.66 = 102.66/x
  3. Step 3: Cross multiply
    64.97x = 102.66 × 102.66
  4. Step 4: Simplify right side
    64.97x = 10,538.31
  5. Step 5: Solve for x
    x = 10,538.31/64.97
  6. Step 6: Final answer
    x = 162.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.