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Finding the Third Proportional to 386.31 and 804.63

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Solution

The third proportional to 386.31 and 804.63 is: 1,675.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.31 : 804.63 = 804.63 : x
  2. Step 2: Convert to fraction form
    386.31/804.63 = 804.63/x
  3. Step 3: Cross multiply
    386.31x = 804.63 × 804.63
  4. Step 4: Simplify right side
    386.31x = 647,421.39
  5. Step 5: Solve for x
    x = 647,421.39/386.31
  6. Step 6: Final answer
    x = 1,675.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.