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Finding the Third Proportional to 51.13 and 66.34

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Solution

The third proportional to 51.13 and 66.34 is: 86.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.13 : 66.34 = 66.34 : x
  2. Step 2: Convert to fraction form
    51.13/66.34 = 66.34/x
  3. Step 3: Cross multiply
    51.13x = 66.34 × 66.34
  4. Step 4: Simplify right side
    51.13x = 4,401.49
  5. Step 5: Solve for x
    x = 4,401.49/51.13
  6. Step 6: Final answer
    x = 86.09

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.