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Finding the Third Proportional to 121.81 and 256.63

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Solution

The third proportional to 121.81 and 256.63 is: 540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.81 : 256.63 = 256.63 : x
  2. Step 2: Convert to fraction form
    121.81/256.63 = 256.63/x
  3. Step 3: Cross multiply
    121.81x = 256.63 × 256.63
  4. Step 4: Simplify right side
    121.81x = 65,856.39
  5. Step 5: Solve for x
    x = 65,856.39/121.81
  6. Step 6: Final answer
    x = 540.64

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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.