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Finding the Third Proportional to 42,813 and 68,184

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Solution

The third proportional to 42,813 and 68,184 is: 108,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,813 : 68,184 = 68,184 : x
  2. Step 2: Convert to fraction form
    42,813/68,184 = 68,184/x
  3. Step 3: Cross multiply
    42,813x = 68,184 × 68,184
  4. Step 4: Simplify right side
    42,813x = 4,649,057,856
  5. Step 5: Solve for x
    x = 4,649,057,856/42,813
  6. Step 6: Final answer
    x = 108,589.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.