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Finding the Third Proportional to 55.73 and 84.32

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Solution

The third proportional to 55.73 and 84.32 is: 127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.73 : 84.32 = 84.32 : x
  2. Step 2: Convert to fraction form
    55.73/84.32 = 84.32/x
  3. Step 3: Cross multiply
    55.73x = 84.32 × 84.32
  4. Step 4: Simplify right side
    55.73x = 7,110.24
  5. Step 5: Solve for x
    x = 7,110.24/55.73
  6. Step 6: Final answer
    x = 127.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.