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Finding the Third Proportional to 56.21 and 121.97

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Solution

The third proportional to 56.21 and 121.97 is: 264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.21 : 121.97 = 121.97 : x
  2. Step 2: Convert to fraction form
    56.21/121.97 = 121.97/x
  3. Step 3: Cross multiply
    56.21x = 121.97 × 121.97
  4. Step 4: Simplify right side
    56.21x = 14,877.81
  5. Step 5: Solve for x
    x = 14,877.81/56.21
  6. Step 6: Final answer
    x = 264.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.