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Finding the Third Proportional to 34,193 and 51,747

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Solution

The third proportional to 34,193 and 51,747 is: 78,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,193 : 51,747 = 51,747 : x
  2. Step 2: Convert to fraction form
    34,193/51,747 = 51,747/x
  3. Step 3: Cross multiply
    34,193x = 51,747 × 51,747
  4. Step 4: Simplify right side
    34,193x = 2,677,752,009
  5. Step 5: Solve for x
    x = 2,677,752,009/34,193
  6. Step 6: Final answer
    x = 78,312.87

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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.