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Finding the Third Proportional to 99,869 and 217,372

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Solution

The third proportional to 99,869 and 217,372 is: 473,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,869 : 217,372 = 217,372 : x
  2. Step 2: Convert to fraction form
    99,869/217,372 = 217,372/x
  3. Step 3: Cross multiply
    99,869x = 217,372 × 217,372
  4. Step 4: Simplify right side
    99,869x = 47,250,586,384
  5. Step 5: Solve for x
    x = 47,250,586,384/99,869
  6. Step 6: Final answer
    x = 473,125.66

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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.