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Finding the Third Proportional to 43,885 and 66,215

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Solution

The third proportional to 43,885 and 66,215 is: 99,907.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,885 : 66,215 = 66,215 : x
  2. Step 2: Convert to fraction form
    43,885/66,215 = 66,215/x
  3. Step 3: Cross multiply
    43,885x = 66,215 × 66,215
  4. Step 4: Simplify right side
    43,885x = 4,384,426,225
  5. Step 5: Solve for x
    x = 4,384,426,225/43,885
  6. Step 6: Final answer
    x = 99,907.17

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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.