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Finding the Third Proportional to 105,903 and 233,129.25

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Solution

The third proportional to 105,903 and 233,129.25 is: 513,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,903 : 233,129.25 = 233,129.25 : x
  2. Step 2: Convert to fraction form
    105,903/233,129.25 = 233,129.25/x
  3. Step 3: Cross multiply
    105,903x = 233,129.25 × 233,129.25
  4. Step 4: Simplify right side
    105,903x = 54,349,247,205.56
  5. Step 5: Solve for x
    x = 54,349,247,205.56/105,903
  6. Step 6: Final answer
    x = 513,198.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.