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Finding the Third Proportional to 18,472 and 40,285

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Solution

The third proportional to 18,472 and 40,285 is: 87,856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,472 : 40,285 = 40,285 : x
  2. Step 2: Convert to fraction form
    18,472/40,285 = 40,285/x
  3. Step 3: Cross multiply
    18,472x = 40,285 × 40,285
  4. Step 4: Simplify right side
    18,472x = 1,622,881,225
  5. Step 5: Solve for x
    x = 1,622,881,225/18,472
  6. Step 6: Final answer
    x = 87,856.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.