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Finding the Third Proportional to 29,878 and 45,193

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Solution

The third proportional to 29,878 and 45,193 is: 68,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,878 : 45,193 = 45,193 : x
  2. Step 2: Convert to fraction form
    29,878/45,193 = 45,193/x
  3. Step 3: Cross multiply
    29,878x = 45,193 × 45,193
  4. Step 4: Simplify right side
    29,878x = 2,042,407,249
  5. Step 5: Solve for x
    x = 2,042,407,249/29,878
  6. Step 6: Final answer
    x = 68,358.23

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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.