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Finding the Third Proportional to 133,038 and 289,041

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Solution

The third proportional to 133,038 and 289,041 is: 627,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038 : 289,041 = 289,041 : x
  2. Step 2: Convert to fraction form
    133,038/289,041 = 289,041/x
  3. Step 3: Cross multiply
    133,038x = 289,041 × 289,041
  4. Step 4: Simplify right side
    133,038x = 83,544,699,681
  5. Step 5: Solve for x
    x = 83,544,699,681/133,038
  6. Step 6: Final answer
    x = 627,976.21

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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.