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Finding the Third Proportional to 56.74 and 121.08

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Solution

The third proportional to 56.74 and 121.08 is: 258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.74 : 121.08 = 121.08 : x
  2. Step 2: Convert to fraction form
    56.74/121.08 = 121.08/x
  3. Step 3: Cross multiply
    56.74x = 121.08 × 121.08
  4. Step 4: Simplify right side
    56.74x = 14,659.91
  5. Step 5: Solve for x
    x = 14,659.91/56.74
  6. Step 6: Final answer
    x = 258.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.