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Finding the Third Proportional to 216.75 and 492.88

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Solution

The third proportional to 216.75 and 492.88 is: 1,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.75 : 492.88 = 492.88 : x
  2. Step 2: Convert to fraction form
    216.75/492.88 = 492.88/x
  3. Step 3: Cross multiply
    216.75x = 492.88 × 492.88
  4. Step 4: Simplify right side
    216.75x = 242,925.77
  5. Step 5: Solve for x
    x = 242,925.77/216.75
  6. Step 6: Final answer
    x = 1,120.76

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.