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Finding the Third Proportional to 386.13 and 847.63

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Solution

The third proportional to 386.13 and 847.63 is: 1,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.13 : 847.63 = 847.63 : x
  2. Step 2: Convert to fraction form
    386.13/847.63 = 847.63/x
  3. Step 3: Cross multiply
    386.13x = 847.63 × 847.63
  4. Step 4: Simplify right side
    386.13x = 718,468.14
  5. Step 5: Solve for x
    x = 718,468.14/386.13
  6. Step 6: Final answer
    x = 1,860.71

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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.