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Finding the Third Proportional to 397.69 and 661.22

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Solution

The third proportional to 397.69 and 661.22 is: 1,099.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.69 : 661.22 = 661.22 : x
  2. Step 2: Convert to fraction form
    397.69/661.22 = 661.22/x
  3. Step 3: Cross multiply
    397.69x = 661.22 × 661.22
  4. Step 4: Simplify right side
    397.69x = 437,210.24
  5. Step 5: Solve for x
    x = 437,210.24/397.69
  6. Step 6: Final answer
    x = 1,099.38

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.