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Finding the Third Proportional to 53.02 and 73.69

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Solution

The third proportional to 53.02 and 73.69 is: 102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.02 : 73.69 = 73.69 : x
  2. Step 2: Convert to fraction form
    53.02/73.69 = 73.69/x
  3. Step 3: Cross multiply
    53.02x = 73.69 × 73.69
  4. Step 4: Simplify right side
    53.02x = 5,429.85
  5. Step 5: Solve for x
    x = 5,429.85/53.02
  6. Step 6: Final answer
    x = 102.42

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.