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Finding the Third Proportional to 286.13 and 405.13

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Solution

The third proportional to 286.13 and 405.13 is: 573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.13 : 405.13 = 405.13 : x
  2. Step 2: Convert to fraction form
    286.13/405.13 = 405.13/x
  3. Step 3: Cross multiply
    286.13x = 405.13 × 405.13
  4. Step 4: Simplify right side
    286.13x = 164,126.27
  5. Step 5: Solve for x
    x = 164,126.27/286.13
  6. Step 6: Final answer
    x = 573.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.