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Finding the Third Proportional to 57.30 and 126.84

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Solution

The third proportional to 57.30 and 126.84 is: 280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.30 : 126.84 = 126.84 : x
  2. Step 2: Convert to fraction form
    57.30/126.84 = 126.84/x
  3. Step 3: Cross multiply
    57.30x = 126.84 × 126.84
  4. Step 4: Simplify right side
    57.30x = 16,089.34
  5. Step 5: Solve for x
    x = 16,089.34/57.30
  6. Step 6: Final answer
    x = 280.77

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.