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Finding the Third Proportional to 131.66 and 286.41

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Solution

The third proportional to 131.66 and 286.41 is: 623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.66 : 286.41 = 286.41 : x
  2. Step 2: Convert to fraction form
    131.66/286.41 = 286.41/x
  3. Step 3: Cross multiply
    131.66x = 286.41 × 286.41
  4. Step 4: Simplify right side
    131.66x = 82,028.22
  5. Step 5: Solve for x
    x = 82,028.22/131.66
  6. Step 6: Final answer
    x = 623.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.