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Finding the Third Proportional to 287.88 and 613.94

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Solution

The third proportional to 287.88 and 613.94 is: 1,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.88 : 613.94 = 613.94 : x
  2. Step 2: Convert to fraction form
    287.88/613.94 = 613.94/x
  3. Step 3: Cross multiply
    287.88x = 613.94 × 613.94
  4. Step 4: Simplify right side
    287.88x = 376,919.25
  5. Step 5: Solve for x
    x = 376,919.25/287.88
  6. Step 6: Final answer
    x = 1,309.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.