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Finding the Third Proportional to 66.97 and 102.30

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Solution

The third proportional to 66.97 and 102.30 is: 156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.97 : 102.30 = 102.30 : x
  2. Step 2: Convert to fraction form
    66.97/102.30 = 102.30/x
  3. Step 3: Cross multiply
    66.97x = 102.30 × 102.30
  4. Step 4: Simplify right side
    66.97x = 10,466.25
  5. Step 5: Solve for x
    x = 10,466.25/66.97
  6. Step 6: Final answer
    x = 156.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.