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Finding the Third Proportional to 387.19 and 806.81

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Solution

The third proportional to 387.19 and 806.81 is: 1,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.19 : 806.81 = 806.81 : x
  2. Step 2: Convert to fraction form
    387.19/806.81 = 806.81/x
  3. Step 3: Cross multiply
    387.19x = 806.81 × 806.81
  4. Step 4: Simplify right side
    387.19x = 650,946.41
  5. Step 5: Solve for x
    x = 650,946.41/387.19
  6. Step 6: Final answer
    x = 1,681.22

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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.