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Finding the Third Proportional to 66.75 and 101.06

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Solution

The third proportional to 66.75 and 101.06 is: 153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.75 : 101.06 = 101.06 : x
  2. Step 2: Convert to fraction form
    66.75/101.06 = 101.06/x
  3. Step 3: Cross multiply
    66.75x = 101.06 × 101.06
  4. Step 4: Simplify right side
    66.75x = 10,213.63
  5. Step 5: Solve for x
    x = 10,213.63/66.75
  6. Step 6: Final answer
    x = 153.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.