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Finding the Third Proportional to 57.64 and 121.79

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Solution

The third proportional to 57.64 and 121.79 is: 257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.64 : 121.79 = 121.79 : x
  2. Step 2: Convert to fraction form
    57.64/121.79 = 121.79/x
  3. Step 3: Cross multiply
    57.64x = 121.79 × 121.79
  4. Step 4: Simplify right side
    57.64x = 14,832.81
  5. Step 5: Solve for x
    x = 14,832.81/57.64
  6. Step 6: Final answer
    x = 257.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.