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Finding the Third Proportional to 131,784 and 198,816

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Solution

The third proportional to 131,784 and 198,816 is: 299,943.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,784 : 198,816 = 198,816 : x
  2. Step 2: Convert to fraction form
    131,784/198,816 = 198,816/x
  3. Step 3: Cross multiply
    131,784x = 198,816 × 198,816
  4. Step 4: Simplify right side
    131,784x = 39,527,801,856
  5. Step 5: Solve for x
    x = 39,527,801,856/131,784
  6. Step 6: Final answer
    x = 299,943.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.