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Finding the Third Proportional to 19,856 and 43,663

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Solution

The third proportional to 19,856 and 43,663 is: 96,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856 : 43,663 = 43,663 : x
  2. Step 2: Convert to fraction form
    19,856/43,663 = 43,663/x
  3. Step 3: Cross multiply
    19,856x = 43,663 × 43,663
  4. Step 4: Simplify right side
    19,856x = 1,906,457,569
  5. Step 5: Solve for x
    x = 1,906,457,569/19,856
  6. Step 6: Final answer
    x = 96,014.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.