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Finding the Third Proportional to 666.44 and 1,008.06

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Solution

The third proportional to 666.44 and 1,008.06 is: 1,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.44 : 1,008.06 = 1,008.06 : x
  2. Step 2: Convert to fraction form
    666.44/1,008.06 = 1,008.06/x
  3. Step 3: Cross multiply
    666.44x = 1,008.06 × 1,008.06
  4. Step 4: Simplify right side
    666.44x = 1,016,190.00
  5. Step 5: Solve for x
    x = 1,016,190.00/666.44
  6. Step 6: Final answer
    x = 1,524.81

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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.