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Finding the Third Proportional to 661.06 and 1,451.87

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Solution

The third proportional to 661.06 and 1,451.87 is: 3,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.06 : 1,451.87 = 1,451.87 : x
  2. Step 2: Convert to fraction form
    661.06/1,451.87 = 1,451.87/x
  3. Step 3: Cross multiply
    661.06x = 1,451.87 × 1,451.87
  4. Step 4: Simplify right side
    661.06x = 2,107,918.24
  5. Step 5: Solve for x
    x = 2,107,918.24/661.06
  6. Step 6: Final answer
    x = 3,188.71

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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.