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Finding the Third Proportional to 55.97 and 86.06

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Solution

The third proportional to 55.97 and 86.06 is: 132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.97 : 86.06 = 86.06 : x
  2. Step 2: Convert to fraction form
    55.97/86.06 = 86.06/x
  3. Step 3: Cross multiply
    55.97x = 86.06 × 86.06
  4. Step 4: Simplify right side
    55.97x = 7,406.75
  5. Step 5: Solve for x
    x = 7,406.75/55.97
  6. Step 6: Final answer
    x = 132.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.