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Finding the Third Proportional to 122.45 and 216.66

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Solution

The third proportional to 122.45 and 216.66 is: 383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.45 : 216.66 = 216.66 : x
  2. Step 2: Convert to fraction form
    122.45/216.66 = 216.66/x
  3. Step 3: Cross multiply
    122.45x = 216.66 × 216.66
  4. Step 4: Simplify right side
    122.45x = 46,941.20
  5. Step 5: Solve for x
    x = 46,941.20/122.45
  6. Step 6: Final answer
    x = 383.35

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.