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Finding the Third Proportional to 133,661 and 289,138

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Solution

The third proportional to 133,661 and 289,138 is: 625,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,661 : 289,138 = 289,138 : x
  2. Step 2: Convert to fraction form
    133,661/289,138 = 289,138/x
  3. Step 3: Cross multiply
    133,661x = 289,138 × 289,138
  4. Step 4: Simplify right side
    133,661x = 83,600,783,044
  5. Step 5: Solve for x
    x = 83,600,783,044/133,661
  6. Step 6: Final answer
    x = 625,468.78

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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.