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Finding the Third Proportional to 286.17 and 585.84

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Solution

The third proportional to 286.17 and 585.84 is: 1,199.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.17 : 585.84 = 585.84 : x
  2. Step 2: Convert to fraction form
    286.17/585.84 = 585.84/x
  3. Step 3: Cross multiply
    286.17x = 585.84 × 585.84
  4. Step 4: Simplify right side
    286.17x = 343,212.90
  5. Step 5: Solve for x
    x = 343,212.90/286.17
  6. Step 6: Final answer
    x = 1,199.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.