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Finding the Third Proportional to 386.12 and 613.94

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Solution

The third proportional to 386.12 and 613.94 is: 976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.12 : 613.94 = 613.94 : x
  2. Step 2: Convert to fraction form
    386.12/613.94 = 613.94/x
  3. Step 3: Cross multiply
    386.12x = 613.94 × 613.94
  4. Step 4: Simplify right side
    386.12x = 376,918.50
  5. Step 5: Solve for x
    x = 376,918.50/386.12
  6. Step 6: Final answer
    x = 976.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.