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Finding the Third Proportional to 173,864 and 381,520

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Solution

The third proportional to 173,864 and 381,520 is: 837,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,864 : 381,520 = 381,520 : x
  2. Step 2: Convert to fraction form
    173,864/381,520 = 381,520/x
  3. Step 3: Cross multiply
    173,864x = 381,520 × 381,520
  4. Step 4: Simplify right side
    173,864x = 145,557,510,400
  5. Step 5: Solve for x
    x = 145,557,510,400/173,864
  6. Step 6: Final answer
    x = 837,191.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.