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Finding the Third Proportional to 665.44 and 1,406.81

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Solution

The third proportional to 665.44 and 1,406.81 is: 2,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.44 : 1,406.81 = 1,406.81 : x
  2. Step 2: Convert to fraction form
    665.44/1,406.81 = 1,406.81/x
  3. Step 3: Cross multiply
    665.44x = 1,406.81 × 1,406.81
  4. Step 4: Simplify right side
    665.44x = 1,979,121.41
  5. Step 5: Solve for x
    x = 1,979,121.41/665.44
  6. Step 6: Final answer
    x = 2,974.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.