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Finding the Third Proportional to 51.10 and 73.09

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Solution

The third proportional to 51.10 and 73.09 is: 104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.10 : 73.09 = 73.09 : x
  2. Step 2: Convert to fraction form
    51.10/73.09 = 73.09/x
  3. Step 3: Cross multiply
    51.10x = 73.09 × 73.09
  4. Step 4: Simplify right side
    51.10x = 5,342.13
  5. Step 5: Solve for x
    x = 5,342.13/51.10
  6. Step 6: Final answer
    x = 104.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.