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Finding the Third Proportional to 204,939.28 and 286,583.91

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Solution

The third proportional to 204,939.28 and 286,583.91 is: 400,754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,939.28 : 286,583.91 = 286,583.91 : x
  2. Step 2: Convert to fraction form
    204,939.28/286,583.91 = 286,583.91/x
  3. Step 3: Cross multiply
    204,939.28x = 286,583.91 × 286,583.91
  4. Step 4: Simplify right side
    204,939.28x = 82,130,335,321.51
  5. Step 5: Solve for x
    x = 82,130,335,321.51/204,939.28
  6. Step 6: Final answer
    x = 400,754.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.