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Finding the Third Proportional to 102,978 and 225,639

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Solution

The third proportional to 102,978 and 225,639 is: 494,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,978 : 225,639 = 225,639 : x
  2. Step 2: Convert to fraction form
    102,978/225,639 = 225,639/x
  3. Step 3: Cross multiply
    102,978x = 225,639 × 225,639
  4. Step 4: Simplify right side
    102,978x = 50,912,958,321
  5. Step 5: Solve for x
    x = 50,912,958,321/102,978
  6. Step 6: Final answer
    x = 494,406.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.