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Finding the Third Proportional to 133,118 and 289,562

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Solution

The third proportional to 133,118 and 289,562 is: 629,863.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,118 : 289,562 = 289,562 : x
  2. Step 2: Convert to fraction form
    133,118/289,562 = 289,562/x
  3. Step 3: Cross multiply
    133,118x = 289,562 × 289,562
  4. Step 4: Simplify right side
    133,118x = 83,846,151,844
  5. Step 5: Solve for x
    x = 83,846,151,844/133,118
  6. Step 6: Final answer
    x = 629,863.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.