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Finding the Third Proportional to 386.77 and 850.08

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Solution

The third proportional to 386.77 and 850.08 is: 1,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.77 : 850.08 = 850.08 : x
  2. Step 2: Convert to fraction form
    386.77/850.08 = 850.08/x
  3. Step 3: Cross multiply
    386.77x = 850.08 × 850.08
  4. Step 4: Simplify right side
    386.77x = 722,632.82
  5. Step 5: Solve for x
    x = 722,632.82/386.77
  6. Step 6: Final answer
    x = 1,868.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.