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Finding the Third Proportional to 66,774 and 89,193

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Solution

The third proportional to 66,774 and 89,193 is: 119,139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,774 : 89,193 = 89,193 : x
  2. Step 2: Convert to fraction form
    66,774/89,193 = 89,193/x
  3. Step 3: Cross multiply
    66,774x = 89,193 × 89,193
  4. Step 4: Simplify right side
    66,774x = 7,955,391,249
  5. Step 5: Solve for x
    x = 7,955,391,249/66,774
  6. Step 6: Final answer
    x = 119,139.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.