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Finding the Third Proportional to 43,648 and 66,281

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Solution

The third proportional to 43,648 and 66,281 is: 100,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,648 : 66,281 = 66,281 : x
  2. Step 2: Convert to fraction form
    43,648/66,281 = 66,281/x
  3. Step 3: Cross multiply
    43,648x = 66,281 × 66,281
  4. Step 4: Simplify right side
    43,648x = 4,393,170,961
  5. Step 5: Solve for x
    x = 4,393,170,961/43,648
  6. Step 6: Final answer
    x = 100,649.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.