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Finding the Third Proportional to 30.06 and 51.11

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Solution

The third proportional to 30.06 and 51.11 is: 86.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.06 : 51.11 = 51.11 : x
  2. Step 2: Convert to fraction form
    30.06/51.11 = 51.11/x
  3. Step 3: Cross multiply
    30.06x = 51.11 × 51.11
  4. Step 4: Simplify right side
    30.06x = 2,611.89
  5. Step 5: Solve for x
    x = 2,611.89/30.06
  6. Step 6: Final answer
    x = 86.88

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.