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Finding the Third Proportional to 85.13 and 165.56

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Solution

The third proportional to 85.13 and 165.56 is: 322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.13 : 165.56 = 165.56 : x
  2. Step 2: Convert to fraction form
    85.13/165.56 = 165.56/x
  3. Step 3: Cross multiply
    85.13x = 165.56 × 165.56
  4. Step 4: Simplify right side
    85.13x = 27,410.94
  5. Step 5: Solve for x
    x = 27,410.94/85.13
  6. Step 6: Final answer
    x = 322.01

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.