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Finding the Third Proportional to 441.25 and 666.13

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Solution

The third proportional to 441.25 and 666.13 is: 1,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.25 : 666.13 = 666.13 : x
  2. Step 2: Convert to fraction form
    441.25/666.13 = 666.13/x
  3. Step 3: Cross multiply
    441.25x = 666.13 × 666.13
  4. Step 4: Simplify right side
    441.25x = 443,722.52
  5. Step 5: Solve for x
    x = 443,722.52/441.25
  6. Step 6: Final answer
    x = 1,005.60

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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.