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Finding the Third Proportional to 47.69 and 66.03

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Solution

The third proportional to 47.69 and 66.03 is: 91.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.69 : 66.03 = 66.03 : x
  2. Step 2: Convert to fraction form
    47.69/66.03 = 66.03/x
  3. Step 3: Cross multiply
    47.69x = 66.03 × 66.03
  4. Step 4: Simplify right side
    47.69x = 4,360.13
  5. Step 5: Solve for x
    x = 4,360.13/47.69
  6. Step 6: Final answer
    x = 91.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.