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Finding the Third Proportional to 386.79 and 806.48

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Solution

The third proportional to 386.79 and 806.48 is: 1,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.79 : 806.48 = 806.48 : x
  2. Step 2: Convert to fraction form
    386.79/806.48 = 806.48/x
  3. Step 3: Cross multiply
    386.79x = 806.48 × 806.48
  4. Step 4: Simplify right side
    386.79x = 650,417.05
  5. Step 5: Solve for x
    x = 650,417.05/386.79
  6. Step 6: Final answer
    x = 1,681.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.