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Finding the Third Proportional to 626.67 and 1,357.97

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Solution

The third proportional to 626.67 and 1,357.97 is: 2,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.67 : 1,357.97 = 1,357.97 : x
  2. Step 2: Convert to fraction form
    626.67/1,357.97 = 1,357.97/x
  3. Step 3: Cross multiply
    626.67x = 1,357.97 × 1,357.97
  4. Step 4: Simplify right side
    626.67x = 1,844,079.13
  5. Step 5: Solve for x
    x = 1,844,079.13/626.67
  6. Step 6: Final answer
    x = 2,942.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.