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Finding the Third Proportional to 51 and 85.25

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Solution

The third proportional to 51 and 85.25 is: 142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51 : 85.25 = 85.25 : x
  2. Step 2: Convert to fraction form
    51/85.25 = 85.25/x
  3. Step 3: Cross multiply
    51x = 85.25 × 85.25
  4. Step 4: Simplify right side
    51x = 7,267.56
  5. Step 5: Solve for x
    x = 7,267.56/51
  6. Step 6: Final answer
    x = 142.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.