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Finding the Third Proportional to 55.13 and 73.69

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Solution

The third proportional to 55.13 and 73.69 is: 98.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.13 : 73.69 = 73.69 : x
  2. Step 2: Convert to fraction form
    55.13/73.69 = 73.69/x
  3. Step 3: Cross multiply
    55.13x = 73.69 × 73.69
  4. Step 4: Simplify right side
    55.13x = 5,429.85
  5. Step 5: Solve for x
    x = 5,429.85/55.13
  6. Step 6: Final answer
    x = 98.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.