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Finding the Third Proportional to 839.86 and 1,304.81

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Solution

The third proportional to 839.86 and 1,304.81 is: 2,027.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.86 : 1,304.81 = 1,304.81 : x
  2. Step 2: Convert to fraction form
    839.86/1,304.81 = 1,304.81/x
  3. Step 3: Cross multiply
    839.86x = 1,304.81 × 1,304.81
  4. Step 4: Simplify right side
    839.86x = 1,702,535.66
  5. Step 5: Solve for x
    x = 1,702,535.66/839.86
  6. Step 6: Final answer
    x = 2,027.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.