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Finding the Third Proportional to 666.28 and 1,465.03

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Solution

The third proportional to 666.28 and 1,465.03 is: 3,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.28 : 1,465.03 = 1,465.03 : x
  2. Step 2: Convert to fraction form
    666.28/1,465.03 = 1,465.03/x
  3. Step 3: Cross multiply
    666.28x = 1,465.03 × 1,465.03
  4. Step 4: Simplify right side
    666.28x = 2,146,316.56
  5. Step 5: Solve for x
    x = 2,146,316.56/666.28
  6. Step 6: Final answer
    x = 3,221.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.