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Finding the Third Proportional to 666.14 and 955.97

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Solution

The third proportional to 666.14 and 955.97 is: 1,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.14 : 955.97 = 955.97 : x
  2. Step 2: Convert to fraction form
    666.14/955.97 = 955.97/x
  3. Step 3: Cross multiply
    666.14x = 955.97 × 955.97
  4. Step 4: Simplify right side
    666.14x = 913,876.25
  5. Step 5: Solve for x
    x = 913,876.25/666.14
  6. Step 6: Final answer
    x = 1,371.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.