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Finding the Third Proportional to 238,299 and 351,903

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Solution

The third proportional to 238,299 and 351,903 is: 519,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,299 : 351,903 = 351,903 : x
  2. Step 2: Convert to fraction form
    238,299/351,903 = 351,903/x
  3. Step 3: Cross multiply
    238,299x = 351,903 × 351,903
  4. Step 4: Simplify right side
    238,299x = 123,835,721,409
  5. Step 5: Solve for x
    x = 123,835,721,409/238,299
  6. Step 6: Final answer
    x = 519,665.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.