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Finding the Third Proportional to 187.81 and 286.06

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Solution

The third proportional to 187.81 and 286.06 is: 435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.81 : 286.06 = 286.06 : x
  2. Step 2: Convert to fraction form
    187.81/286.06 = 286.06/x
  3. Step 3: Cross multiply
    187.81x = 286.06 × 286.06
  4. Step 4: Simplify right side
    187.81x = 81,831.75
  5. Step 5: Solve for x
    x = 81,831.75/187.81
  6. Step 6: Final answer
    x = 435.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.