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Finding the Third Proportional to 51.19 and 91.83

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Solution

The third proportional to 51.19 and 91.83 is: 164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.19 : 91.83 = 91.83 : x
  2. Step 2: Convert to fraction form
    51.19/91.83 = 91.83/x
  3. Step 3: Cross multiply
    51.19x = 91.83 × 91.83
  4. Step 4: Simplify right side
    51.19x = 8,432.40
  5. Step 5: Solve for x
    x = 8,432.40/51.19
  6. Step 6: Final answer
    x = 164.74

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.