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Finding the Third Proportional to 66.69 and 77.56

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Solution

The third proportional to 66.69 and 77.56 is: 90.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.69 : 77.56 = 77.56 : x
  2. Step 2: Convert to fraction form
    66.69/77.56 = 77.56/x
  3. Step 3: Cross multiply
    66.69x = 77.56 × 77.56
  4. Step 4: Simplify right side
    66.69x = 6,015.94
  5. Step 5: Solve for x
    x = 6,015.94/66.69
  6. Step 6: Final answer
    x = 90.21

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.