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Finding the Third Proportional to 386.30 and 859.08

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Solution

The third proportional to 386.30 and 859.08 is: 1,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.30 : 859.08 = 859.08 : x
  2. Step 2: Convert to fraction form
    386.30/859.08 = 859.08/x
  3. Step 3: Cross multiply
    386.30x = 859.08 × 859.08
  4. Step 4: Simplify right side
    386.30x = 738,015.22
  5. Step 5: Solve for x
    x = 738,015.22/386.30
  6. Step 6: Final answer
    x = 1,910.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.