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Finding the Third Proportional to 203,973 and 286,731

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Solution

The third proportional to 203,973 and 286,731 is: 403,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,973 : 286,731 = 286,731 : x
  2. Step 2: Convert to fraction form
    203,973/286,731 = 286,731/x
  3. Step 3: Cross multiply
    203,973x = 286,731 × 286,731
  4. Step 4: Simplify right side
    203,973x = 82,214,666,361
  5. Step 5: Solve for x
    x = 82,214,666,361/203,973
  6. Step 6: Final answer
    x = 403,066.42

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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.