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Finding the Third Proportional to 200,969 and 319,903

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Solution

The third proportional to 200,969 and 319,903 is: 509,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,969 : 319,903 = 319,903 : x
  2. Step 2: Convert to fraction form
    200,969/319,903 = 319,903/x
  3. Step 3: Cross multiply
    200,969x = 319,903 × 319,903
  4. Step 4: Simplify right side
    200,969x = 102,337,929,409
  5. Step 5: Solve for x
    x = 102,337,929,409/200,969
  6. Step 6: Final answer
    x = 509,222.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.