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Finding the Third Proportional to 105,489 and 227,475

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Solution

The third proportional to 105,489 and 227,475 is: 490,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,489 : 227,475 = 227,475 : x
  2. Step 2: Convert to fraction form
    105,489/227,475 = 227,475/x
  3. Step 3: Cross multiply
    105,489x = 227,475 × 227,475
  4. Step 4: Simplify right side
    105,489x = 51,744,875,625
  5. Step 5: Solve for x
    x = 51,744,875,625/105,489
  6. Step 6: Final answer
    x = 490,523.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.