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Finding the Third Proportional to 133,022 and 289,318

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Solution

The third proportional to 133,022 and 289,318 is: 629,256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,022 : 289,318 = 289,318 : x
  2. Step 2: Convert to fraction form
    133,022/289,318 = 289,318/x
  3. Step 3: Cross multiply
    133,022x = 289,318 × 289,318
  4. Step 4: Simplify right side
    133,022x = 83,704,905,124
  5. Step 5: Solve for x
    x = 83,704,905,124/133,022
  6. Step 6: Final answer
    x = 629,256.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.