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Finding the Third Proportional to 89,183 and 121,472

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Solution

The third proportional to 89,183 and 121,472 is: 165,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,183 : 121,472 = 121,472 : x
  2. Step 2: Convert to fraction form
    89,183/121,472 = 121,472/x
  3. Step 3: Cross multiply
    89,183x = 121,472 × 121,472
  4. Step 4: Simplify right side
    89,183x = 14,755,446,784
  5. Step 5: Solve for x
    x = 14,755,446,784/89,183
  6. Step 6: Final answer
    x = 165,451.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.