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Finding the Third Proportional to 55.75 and 74.06

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Solution

The third proportional to 55.75 and 74.06 is: 98.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.75 : 74.06 = 74.06 : x
  2. Step 2: Convert to fraction form
    55.75/74.06 = 74.06/x
  3. Step 3: Cross multiply
    55.75x = 74.06 × 74.06
  4. Step 4: Simplify right side
    55.75x = 5,485.25
  5. Step 5: Solve for x
    x = 5,485.25/55.75
  6. Step 6: Final answer
    x = 98.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.