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Finding the Third Proportional to 205,589.81 and 308,383.88

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Solution

The third proportional to 205,589.81 and 308,383.88 is: 462,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,589.81 : 308,383.88 = 308,383.88 : x
  2. Step 2: Convert to fraction form
    205,589.81/308,383.88 = 308,383.88/x
  3. Step 3: Cross multiply
    205,589.81x = 308,383.88 × 308,383.88
  4. Step 4: Simplify right side
    205,589.81x = 95,100,614,360.02
  5. Step 5: Solve for x
    x = 95,100,614,360.02/205,589.81
  6. Step 6: Final answer
    x = 462,574.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.