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Finding the Third Proportional to 119,805 and 284,892

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Solution

The third proportional to 119,805 and 284,892 is: 677,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,805 : 284,892 = 284,892 : x
  2. Step 2: Convert to fraction form
    119,805/284,892 = 284,892/x
  3. Step 3: Cross multiply
    119,805x = 284,892 × 284,892
  4. Step 4: Simplify right side
    119,805x = 81,163,451,664
  5. Step 5: Solve for x
    x = 81,163,451,664/119,805
  6. Step 6: Final answer
    x = 677,462.97

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.