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Finding the Third Proportional to 203,983 and 286,743

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Solution

The third proportional to 203,983 and 286,743 is: 403,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,983 : 286,743 = 286,743 : x
  2. Step 2: Convert to fraction form
    203,983/286,743 = 286,743/x
  3. Step 3: Cross multiply
    203,983x = 286,743 × 286,743
  4. Step 4: Simplify right side
    203,983x = 82,221,548,049
  5. Step 5: Solve for x
    x = 82,221,548,049/203,983
  6. Step 6: Final answer
    x = 403,080.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.