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Finding the Third Proportional to 165.09 and 389.11

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Solution

The third proportional to 165.09 and 389.11 is: 917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.09 : 389.11 = 389.11 : x
  2. Step 2: Convert to fraction form
    165.09/389.11 = 389.11/x
  3. Step 3: Cross multiply
    165.09x = 389.11 × 389.11
  4. Step 4: Simplify right side
    165.09x = 151,406.11
  5. Step 5: Solve for x
    x = 151,406.11/165.09
  6. Step 6: Final answer
    x = 917.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.