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Finding the Third Proportional to 286.75 and 626.38

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Solution

The third proportional to 286.75 and 626.38 is: 1,368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.75 : 626.38 = 626.38 : x
  2. Step 2: Convert to fraction form
    286.75/626.38 = 626.38/x
  3. Step 3: Cross multiply
    286.75x = 626.38 × 626.38
  4. Step 4: Simplify right side
    286.75x = 392,345.64
  5. Step 5: Solve for x
    x = 392,345.64/286.75
  6. Step 6: Final answer
    x = 1,368.25

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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.