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Finding the Third Proportional to 34,193 and 73,853

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Solution

The third proportional to 34,193 and 73,853 is: 159,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,193 : 73,853 = 73,853 : x
  2. Step 2: Convert to fraction form
    34,193/73,853 = 73,853/x
  3. Step 3: Cross multiply
    34,193x = 73,853 × 73,853
  4. Step 4: Simplify right side
    34,193x = 5,454,265,609
  5. Step 5: Solve for x
    x = 5,454,265,609/34,193
  6. Step 6: Final answer
    x = 159,514.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.