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Finding the Third Proportional to 141.19 and 286.03

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Solution

The third proportional to 141.19 and 286.03 is: 579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.19 : 286.03 = 286.03 : x
  2. Step 2: Convert to fraction form
    141.19/286.03 = 286.03/x
  3. Step 3: Cross multiply
    141.19x = 286.03 × 286.03
  4. Step 4: Simplify right side
    141.19x = 81,813.88
  5. Step 5: Solve for x
    x = 81,813.88/141.19
  6. Step 6: Final answer
    x = 579.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.