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Finding the Third Proportional to 386.63 and 679.31

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Solution

The third proportional to 386.63 and 679.31 is: 1,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.63 : 679.31 = 679.31 : x
  2. Step 2: Convert to fraction form
    386.63/679.31 = 679.31/x
  3. Step 3: Cross multiply
    386.63x = 679.31 × 679.31
  4. Step 4: Simplify right side
    386.63x = 461,465.47
  5. Step 5: Solve for x
    x = 461,465.47/386.63
  6. Step 6: Final answer
    x = 1,193.57

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.