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Finding the Third Proportional to 121.66 and 263.98

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Solution

The third proportional to 121.66 and 263.98 is: 572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.66 : 263.98 = 263.98 : x
  2. Step 2: Convert to fraction form
    121.66/263.98 = 263.98/x
  3. Step 3: Cross multiply
    121.66x = 263.98 × 263.98
  4. Step 4: Simplify right side
    121.66x = 69,683.63
  5. Step 5: Solve for x
    x = 69,683.63/121.66
  6. Step 6: Final answer
    x = 572.75

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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.