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Finding the Third Proportional to 133,043 and 285,769

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Solution

The third proportional to 133,043 and 285,769 is: 613,815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,043 : 285,769 = 285,769 : x
  2. Step 2: Convert to fraction form
    133,043/285,769 = 285,769/x
  3. Step 3: Cross multiply
    133,043x = 285,769 × 285,769
  4. Step 4: Simplify right side
    133,043x = 81,663,921,361
  5. Step 5: Solve for x
    x = 81,663,921,361/133,043
  6. Step 6: Final answer
    x = 613,815.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.