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Finding the Third Proportional to 43,645 and 66,738

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Solution

The third proportional to 43,645 and 66,738 is: 102,049.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,645 : 66,738 = 66,738 : x
  2. Step 2: Convert to fraction form
    43,645/66,738 = 66,738/x
  3. Step 3: Cross multiply
    43,645x = 66,738 × 66,738
  4. Step 4: Simplify right side
    43,645x = 4,453,960,644
  5. Step 5: Solve for x
    x = 4,453,960,644/43,645
  6. Step 6: Final answer
    x = 102,049.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.