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Finding the Third Proportional to 133,202.63 and 285,405

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Solution

The third proportional to 133,202.63 and 285,405 is: 611,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,202.63 : 285,405 = 285,405 : x
  2. Step 2: Convert to fraction form
    133,202.63/285,405 = 285,405/x
  3. Step 3: Cross multiply
    133,202.63x = 285,405 × 285,405
  4. Step 4: Simplify right side
    133,202.63x = 81,456,014,025
  5. Step 5: Solve for x
    x = 81,456,014,025/133,202.63
  6. Step 6: Final answer
    x = 611,519.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.