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Finding the Third Proportional to 216.66 and 286.45

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Solution

The third proportional to 216.66 and 286.45 is: 378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.66 : 286.45 = 286.45 : x
  2. Step 2: Convert to fraction form
    216.66/286.45 = 286.45/x
  3. Step 3: Cross multiply
    216.66x = 286.45 × 286.45
  4. Step 4: Simplify right side
    216.66x = 82,055.39
  5. Step 5: Solve for x
    x = 82,055.39/216.66
  6. Step 6: Final answer
    x = 378.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.