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Finding the Third Proportional to 51.17 and 120.76

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Solution

The third proportional to 51.17 and 120.76 is: 284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.17 : 120.76 = 120.76 : x
  2. Step 2: Convert to fraction form
    51.17/120.76 = 120.76/x
  3. Step 3: Cross multiply
    51.17x = 120.76 × 120.76
  4. Step 4: Simplify right side
    51.17x = 14,582.60
  5. Step 5: Solve for x
    x = 14,582.60/51.17
  6. Step 6: Final answer
    x = 284.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.