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Finding the Third Proportional to 105,903 and 226,575

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Solution

The third proportional to 105,903 and 226,575 is: 484,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,903 : 226,575 = 226,575 : x
  2. Step 2: Convert to fraction form
    105,903/226,575 = 226,575/x
  3. Step 3: Cross multiply
    105,903x = 226,575 × 226,575
  4. Step 4: Simplify right side
    105,903x = 51,336,230,625
  5. Step 5: Solve for x
    x = 51,336,230,625/105,903
  6. Step 6: Final answer
    x = 484,747.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.