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Finding the Third Proportional to 43,218 and 57,441

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Solution

The third proportional to 43,218 and 57,441 is: 76,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,218 : 57,441 = 57,441 : x
  2. Step 2: Convert to fraction form
    43,218/57,441 = 57,441/x
  3. Step 3: Cross multiply
    43,218x = 57,441 × 57,441
  4. Step 4: Simplify right side
    43,218x = 3,299,468,481
  5. Step 5: Solve for x
    x = 3,299,468,481/43,218
  6. Step 6: Final answer
    x = 76,344.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.