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Finding the Third Proportional to 133,042 and 289,364

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Solution

The third proportional to 133,042 and 289,364 is: 629,361.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,042 : 289,364 = 289,364 : x
  2. Step 2: Convert to fraction form
    133,042/289,364 = 289,364/x
  3. Step 3: Cross multiply
    133,042x = 289,364 × 289,364
  4. Step 4: Simplify right side
    133,042x = 83,731,524,496
  5. Step 5: Solve for x
    x = 83,731,524,496/133,042
  6. Step 6: Final answer
    x = 629,361.59

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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.