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Finding the Third Proportional to 51.63 and 75.69

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Solution

The third proportional to 51.63 and 75.69 is: 110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.63 : 75.69 = 75.69 : x
  2. Step 2: Convert to fraction form
    51.63/75.69 = 75.69/x
  3. Step 3: Cross multiply
    51.63x = 75.69 × 75.69
  4. Step 4: Simplify right side
    51.63x = 5,728.60
  5. Step 5: Solve for x
    x = 5,728.60/51.63
  6. Step 6: Final answer
    x = 110.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.