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Finding the Third Proportional to 200,796 and 322,903

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Solution

The third proportional to 200,796 and 322,903 is: 519,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,796 : 322,903 = 322,903 : x
  2. Step 2: Convert to fraction form
    200,796/322,903 = 322,903/x
  3. Step 3: Cross multiply
    200,796x = 322,903 × 322,903
  4. Step 4: Simplify right side
    200,796x = 104,266,347,409
  5. Step 5: Solve for x
    x = 104,266,347,409/200,796
  6. Step 6: Final answer
    x = 519,265.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.